313133212100 has 18 divisors (see below), whose sum is σ = 679499070474. Its totient is φ = 125253284800.

The previous prime is 313133212081. The next prime is 313133212157. The reversal of 313133212100 is 1212331313.

It can be written as a sum of positive squares in 3 ways, for example, as 13460176324 + 299673035776 = 116018^2 + 547424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1565665961 + ... + 1565666160.

Almost surely, 2^313133212100 is an apocalyptic number.

It is an amenable number.

313133212100 is an abundant number, since it is smaller than the sum of its proper divisors (366365858374).

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

313133212100 is a wasteful number, since it uses less digits than its factorization.

313133212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131332135 (or 3131332128 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313133212100 its reverse (1212331313), we get a palindrome (314345543413).

The spelling of 313133212100 in words is "three hundred thirteen billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".