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13131111301 = 711253734007
BaseRepresentation
bin11000011101010110…
…01101101110000101
31020220010111120100121
430032223031232011
5203343031030201
610010553141541
7643254414220
oct141653155605
936803446317
1013131111301
115629196300
1226656ba8b1
1313135b9259
148c7d385b7
1551cbee9a1
hex30eacdb85

13131111301 has 48 divisors (see below), whose sum is σ = 17040989952. Its totient is φ = 9898986240.

The previous prime is 13131111269. The next prime is 13131111307. The reversal of 13131111301 is 10311113131.

It is not a de Polignac number, because 13131111301 - 25 = 13131111269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131111307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3275040 + ... + 3279046.

It is an arithmetic number, because the mean of its divisors is an integer number (355020624).

Almost surely, 213131111301 is an apocalyptic number.

13131111301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13131111301 is a deficient number, since it is larger than the sum of its proper divisors (3909878651).

13131111301 is a wasteful number, since it uses less digits than its factorization.

13131111301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 13131111301 its reverse (10311113131), we get a palindrome (23442224432).

The spelling of 13131111301 in words is "thirteen billion, one hundred thirty-one million, one hundred eleven thousand, three hundred one".

Divisors: 1 7 11 53 73 77 121 371 511 583 803 847 3869 4007 4081 5621 6413 8833 27083 28049 42559 44077 44891 61831 212371 292511 297913 308539 468149 484847 1486597 2047577 2336081 3217621 3277043 3393929 15503083 16352567 22523347 25696891 35393831 108521581 170533913 179878237 247756817 1193737391 1875873043 13131111301