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13341322130031 = 3371931119845511
BaseRepresentation
bin1100001000100100010011…
…0001000011001001101111
31202020102021200022020222000
43002021010301003021233
53222041011431130111
644212530242223343
72544610254005250
oct302110461031157
952212250266860
1013341322130031
114284028597985
1215b5779954b53
1375a10975232c
14341a1b176b27
1518208993ec56
hexc2244c4326f

13341322130031 has 64 divisors (see below), whose sum is σ = 24544360857600. Its totient is φ = 6989390143200.

The previous prime is 13341322130011. The next prime is 13341322130047. The reversal of 13341322130031 is 13003122314331.

13341322130031 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 322 + 1 + 300 + 31 = 666.

It is not a de Polignac number, because 13341322130031 - 29 = 13341322129519 is a prime.

It is a super-2 number, since 2×133413221300312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13341322129977 and 13341322130004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341322130011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59811435 + ... + 60034076.

It is an arithmetic number, because the mean of its divisors is an integer number (383505638400).

Almost surely, 213341322130031 is an apocalyptic number.

13341322130031 is a deficient number, since it is larger than the sum of its proper divisors (11203038727569).

13341322130031 is a wasteful number, since it uses less digits than its factorization.

13341322130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119845577 (or 119845571 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13341322130031 its reverse (13003122314331), we get a palindrome (26344444444362).

The spelling of 13341322130031 in words is "thirteen trillion, three hundred forty-one billion, three hundred twenty-two million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 19 21 27 31 57 63 93 133 171 189 217 279 399 513 589 651 837 1197 1767 1953 3591 4123 5301 5859 12369 15903 37107 111321 119845511 359536533 838918577 1078609599 2277064709 2516755731 3235828797 3715210841 6831194127 7550267193 11145632523 15939452963 20493582381 22650801579 26006475887 33436897569 47818358889 61480747143 70589005979 78019427661 100310692707 143455076667 211767017937 234058282983 430365230001 494123041853 635301053811 702174848949 1482369125559 1905903161433 4447107376677 13341322130031