331131300100100 has 72 divisors (see below), whose sum is σ = 745583318337480. Its totient is φ = 127544137297920.

The previous prime is 331131300100099. The next prime is 331131300100151. The reversal of 331131300100100 is 1001003131133.

It can be written as a sum of positive squares in 12 ways, for example, as 11526079320064 + 319605220780036 = 3395008^2 + 17877506^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460955255 + ... + 461673054.

Almost surely, 2^{331131300100100} is an apocalyptic number.

It is an amenable number.

331131300100100 is an abundant number, since it is smaller than the sum of its proper divisors (414452018237380).

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

331131300100100 is a wasteful number, since it uses less digits than its factorization.

331131300100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922628457 (or 922628450 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 331131300100100 its reverse (1001003131133), we get a palindrome (332132303231233).

The spelling of 331131300100100 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred million, one hundred thousand, one hundred".