31931934001 has 12 divisors (see below), whose sum is σ = 35209501236. Its totient is φ = 28937421920.

The previous prime is 31931933989. The next prime is 31931934049. The reversal of 31931934001 is 10043913913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1801917601 + 30130016400 = 42449^2 + 173580^2 .

It is not a de Polignac number, because 31931934001 - 2⁹ = 31931933489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31931934401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377890 + ... + 454603.

It is an arithmetic number, because the mean of its divisors is an integer number (2934125103).

Almost surely, 2^31931934001 is an apocalyptic number.

It is an amenable number.

31931934001 is a deficient number, since it is larger than the sum of its proper divisors (3277567235).

31931934001 is a wasteful number, since it uses less digits than its factorization.

31931934001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832832 (or 832821 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 31931934001 in words is "thirty-one billion, nine hundred thirty-one million, nine hundred thirty-four thousand, one".