100013404102131 has 64 divisors (see below), whose sum is σ = 147922993612800. Its totient is φ = 59725032666624.

The previous prime is 100013404102127. The next prime is 100013404102177. The reversal of 100013404102131 is 131201404310001.

It is not a de Polignac number, because 100013404102131 - 2² = 100013404102127 is a prime.

It is a super-2 number, since 2×100013404102131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100013404102098 and 100013404102107.

It is not an unprimeable number, because it can be changed into a prime (100013404102231) 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, 896660041 + ... + 896771573.

It is an arithmetic number, because the mean of its divisors is an integer number (2311296775200).

Almost surely, 2^{100013404102131} is an apocalyptic number.

100013404102131 is a deficient number, since it is larger than the sum of its proper divisors (47909589510669).

100013404102131 is a wasteful number, since it uses less digits than its factorization.

100013404102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116620.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100013404102131 its reverse (131201404310001), we get a palindrome (231214808412132).

The spelling of 100013404102131 in words is "one hundred trillion, thirteen billion, four hundred four million, one hundred two thousand, one hundred thirty-one".