31872102334309 has 48 divisors (see below), whose sum is σ = 34395682752000. Its totient is φ = 29431120481280.

The previous prime is 31872102334301. The next prime is 31872102334321. The reversal of 31872102334309 is 90343320127813.

It is not a de Polignac number, because 31872102334309 - 2³ = 31872102334301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31872102334301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18759329542 + ... + 18759331240.

It is an arithmetic number, because the mean of its divisors is an integer number (716576724000).

Almost surely, 2^{31872102334309} is an apocalyptic number.

It is an amenable number.

31872102334309 is a deficient number, since it is larger than the sum of its proper divisors (2523580417691).

31872102334309 is a wasteful number, since it uses less digits than its factorization.

31872102334309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 31872102334309 in words is "thirty-one trillion, eight hundred seventy-two billion, one hundred two million, three hundred thirty-four thousand, three hundred nine".