31013101120100 has 72 divisors (see below), whose sum is σ = 73422563967648. Its totient is φ = 11276554988800.

The previous prime is 31013101120097. The next prime is 31013101120129. The reversal of 31013101120100 is 102110131013.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12153344 + ... + 14482056.

It is an arithmetic number, because the mean of its divisors is an integer number (1019757832884).

Almost surely, 2^{31013101120100} is an apocalyptic number.

It is an amenable number.

31013101120100 is an abundant number, since it is smaller than the sum of its proper divisors (42409462847548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31013101120100 is a wasteful number, since it uses less digits than its factorization.

31013101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340845 (or 2340838 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31013101120100 its reverse (102110131013), we get a palindrome (31115211251113).

The spelling of 31013101120100 in words is "thirty-one trillion, thirteen billion, one hundred one million, one hundred twenty thousand, one hundred".