313132121100 has 108 divisors (see below), whose sum is σ = 1008022242864. Its totient is φ = 81245082240.

The previous prime is 313132121089. The next prime is 313132121149. The reversal of 313132121100 is 1121231313.

313132121100 is a `hidden beast` number, since 3 + 131 + 321 + 211 + 0 + 0 = 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, 4668384 + ... + 4734983.

Almost surely, 2^313132121100 is an apocalyptic number.

313132121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313132121100 is an abundant number, since it is smaller than the sum of its proper divisors (694890121764).

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

313132121100 is a wasteful number, since it uses less digits than its factorization.

313132121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403424 (or 9403414 counting only the distinct ones).

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

Adding to 313132121100 its reverse (1121231313), we get a palindrome (314253352413).

The spelling of 313132121100 in words is "three hundred thirteen billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred".