31121013320100 has 108 divisors (see below), whose sum is σ = 106415004368400. Its totient is φ = 7544488075200.

The previous prime is 31121013320087. The next prime is 31121013320167. The reversal of 31121013320100 is 102331012113.

31121013320100 is a `hidden beast` number, since 31 + 1 + 210 + 1 + 3 + 320 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1571758450 + ... + 1571778249.

Almost surely, 2^{31121013320100} is an apocalyptic number.

31121013320100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121013320100 is an abundant number, since it is smaller than the sum of its proper divisors (75293991048300).

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

31121013320100 is a wasteful number, since it uses less digits than its factorization.

31121013320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143536730 (or 3143536720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31121013320100 its reverse (102331012113), we get a palindrome (31223344332213).

The spelling of 31121013320100 in words is "thirty-one trillion, one hundred twenty-one billion, thirteen million, three hundred twenty thousand, one hundred".