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13331102310331 = 1317227273197303
BaseRepresentation
bin1100000111111110001110…
…0111100001111110111011
31202012102220102220121220021
43001333203213201332323
53221404044142412311
644204120204111311
72544066066660451
oct301774347417673
952172812817807
1013331102310331
11427a7637930a3
1215b37a7235537
1375916b35b540
1434132bb529d1
15181b8c610171
hexc1fe39e1fbb

13331102310331 has 32 divisors (see below), whose sum is σ = 15273788640768. Its totient is φ = 11526410488320.

The previous prime is 13331102310293. The next prime is 13331102310343. The reversal of 13331102310331 is 13301320113331.

It is not a de Polignac number, because 13331102310331 - 219 = 13331101786043 is a prime.

It is a super-2 number, since 2×133311023103312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13331102310296 and 13331102310305.

It is not an unprimeable number, because it can be changed into a prime (13331102340331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136957426 + ... + 137054728.

It is an arithmetic number, because the mean of its divisors is an integer number (477305895024).

Almost surely, 213331102310331 is an apocalyptic number.

13331102310331 is a deficient number, since it is larger than the sum of its proper divisors (1942686330437).

13331102310331 is a wasteful number, since it uses less digits than its factorization.

13331102310331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100291.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13331102310331 its reverse (13301320113331), we get a palindrome (26632422423662).

The spelling of 13331102310331 in words is "thirteen trillion, three hundred thirty-one billion, one hundred two million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 13 17 221 227 2731 2951 3859 35503 46427 50167 97303 603551 619937 1264939 1654151 8059181 10538929 21503963 22087781 137006077 265734493 287141153 375492277 3454548409 4517486381 4881399601 58727322953 60321729911 784182488843 1025469408487 13331102310331