13120414431021 has 64 divisors (see below), whose sum is σ = 20278713692160. Its totient is φ = 8376351600960.

The previous prime is 13120414431017. The next prime is 13120414431029. The reversal of 13120414431021 is 12013441402131.

It is a happy number.

13120414431021 is a `hidden beast` number, since 1 + 3 + 1 + 204 + 1 + 4 + 431 + 0 + 21 = 666.

It is not a de Polignac number, because 13120414431021 - 2² = 13120414431017 is a prime.

It is a super-2 number, since 2×13120414431021² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120414431029) 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, 41477760 + ... + 41792886.

It is an arithmetic number, because the mean of its divisors is an integer number (316854901440).

Almost surely, 2^{13120414431021} is an apocalyptic number.

It is an amenable number.

13120414431021 is a deficient number, since it is larger than the sum of its proper divisors (7158299261139).

13120414431021 is a wasteful number, since it uses less digits than its factorization.

13120414431021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315831 (or 315825 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13120414431021 its reverse (12013441402131), we get a palindrome (25133855833152).

The spelling of 13120414431021 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirty-one thousand, twenty-one".