3131002020100 has 36 divisors (see below), whose sum is σ = 7028559713700. Its totient is φ = 1209214572160.

The previous prime is 3131002020043. The next prime is 3131002020169. The reversal of 3131002020100 is 10202001313.

It can be written as a sum of positive squares in 6 ways, for example, as 29204759236 + 3101797260864 = 170894^2 + 1761192^2 .

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 11 ways as a sum of consecutive naturals, for example, 539825035 + ... + 539830834.

It is an arithmetic number, because the mean of its divisors is an integer number (195237769825).

Almost surely, 2^{3131002020100} is an apocalyptic number.

It is an amenable number.

3131002020100 is an abundant number, since it is smaller than the sum of its proper divisors (3897557693600).

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

3131002020100 is a wasteful number, since it uses less digits than its factorization.

3131002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079655912 (or 1079655905 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 3131002020100 its reverse (10202001313), we get a palindrome (3141204021413).

The spelling of 3131002020100 in words is "three trillion, one hundred thirty-one billion, two million, twenty thousand, one hundred".