31604133140613 has 96 divisors (see below), whose sum is σ = 50498050786560. Its totient is φ = 18887362560000.

The previous prime is 31604133140599. The next prime is 31604133140623.

31604133140613 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 4 + 1 + 3 + 31 + 4 + 0 + 613 = 666.

31604133140613 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31604133140613 - 2¹⁰ = 31604133139589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31604133140623) 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, 4381548195 + ... + 4381555407.

It is an arithmetic number, because the mean of its divisors is an integer number (526021362360).

Almost surely, 2^{31604133140613} is an apocalyptic number.

31604133140613 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31604133140613 is a deficient number, since it is larger than the sum of its proper divisors (18893917645947).

31604133140613 is a wasteful number, since it uses less digits than its factorization.

31604133140613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 31604133140613 in words is "thirty-one trillion, six hundred four billion, one hundred thirty-three million, one hundred forty thousand, six hundred thirteen".