31427855872413 has 96 divisors (see below), whose sum is σ = 56696291232000. Its totient is φ = 15068278748160.

The previous prime is 31427855872363. The next prime is 31427855872433.

31427855872413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31427855872413 - 2⁶ = 31427855872349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427855872433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262519473 + ... + 262639161.

It is an arithmetic number, because the mean of its divisors is an integer number (590586367000).

Almost surely, 2^{31427855872413} is an apocalyptic number.

31427855872413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31427855872413 is a deficient number, since it is larger than the sum of its proper divisors (25268435359587).

31427855872413 is a wasteful number, since it uses less digits than its factorization.

31427855872413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127683 (or 127672 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 31427855872413 in words is "thirty-one trillion, four hundred twenty-seven billion, eight hundred fifty-five million, eight hundred seventy-two thousand, four hundred thirteen".