31432100123413 has 64 divisors (see below), whose sum is σ = 37724856019200. Its totient is φ = 25867296000000.

The previous prime is 31432100123399. The next prime is 31432100123423.

31432100123413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31432100123413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31432100123423) 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, 1611810163 + ... + 1611829663.

It is an arithmetic number, because the mean of its divisors is an integer number (589450875300).

Almost surely, 2^{31432100123413} is an apocalyptic number.

It is an amenable number.

31432100123413 is a deficient number, since it is larger than the sum of its proper divisors (6292755895787).

31432100123413 is a wasteful number, since it uses less digits than its factorization.

31432100123413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22294.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 31432100 and 123413, that added together give a palindrome (31555513).

The spelling of 31432100123413 in words is "thirty-one trillion, four hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, four hundred thirteen".