3131331222100 has 18 divisors (see below), whose sum is σ = 6794988752174. Its totient is φ = 1252532488800.

The previous prime is 3131331222091. The next prime is 3131331222101. The reversal of 3131331222100 is 12221331313.

It can be written as a sum of positive squares in 3 ways, for example, as 204316656196 + 2927014565904 = 452014^2 + 1710852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131331222101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15656656011 + ... + 15656656210.

Almost surely, 2^{3131331222100} is an apocalyptic number.

It is an amenable number.

3131331222100 is an abundant number, since it is smaller than the sum of its proper divisors (3663657530074).

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

3131331222100 is a wasteful number, since it uses less digits than its factorization.

3131331222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31313312235 (or 31313312228 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3131331222100 its reverse (12221331313), we get a palindrome (3143552553413).

The spelling of 3131331222100 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred twenty-two thousand, one hundred".