31013121002100 has 144 divisors (see below), whose sum is σ = 89819272032000. Its totient is φ = 8262060318720.

The previous prime is 31013121002057. The next prime is 31013121002177. The reversal of 31013121002100 is 120012131013.

It is a happy number.

31013121002100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31013121002100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31013121002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427238376 + ... + 3427247424.

Almost surely, 2^{31013121002100} is an apocalyptic number.

31013121002100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31013121002100 is an abundant number, since it is smaller than the sum of its proper divisors (58806151029900).

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

31013121002100 is a wasteful number, since it uses less digits than its factorization.

31013121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19002 (or 18995 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31013121002100 its reverse (120012131013), we get a palindrome (31133133133113).

The spelling of 31013121002100 in words is "thirty-one trillion, thirteen billion, one hundred twenty-one million, two thousand, one hundred".