13101310102131 has 24 divisors (see below), whose sum is σ = 19052897338800. Its totient is φ = 8674779470400.

The previous prime is 13101310102129. The next prime is 13101310102157. The reversal of 13101310102131 is 13120101310131.

13101310102131 is a `hidden beast` number, since 1 + 310 + 1 + 310 + 10 + 2 + 1 + 31 = 666.

It is not a de Polignac number, because 13101310102131 - 2¹ = 13101310102129 is a prime.

It is a super-3 number, since 3×13101310102131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13101310102171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14114836 + ... + 15014366.

It is an arithmetic number, because the mean of its divisors is an integer number (793870722450).

Almost surely, 2^{13101310102131} is an apocalyptic number.

13101310102131 is a deficient number, since it is larger than the sum of its proper divisors (5951587236669).

13101310102131 is a wasteful number, since it uses less digits than its factorization.

13101310102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910547 (or 910544 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101310102131 its reverse (13120101310131), we get a palindrome (26221411412262).

The spelling of 13101310102131 in words is "thirteen trillion, one hundred one billion, three hundred ten million, one hundred two thousand, one hundred thirty-one".