313013133300 has 144 divisors (see below), whose sum is σ = 1057052344320. Its totient is φ = 70023584640.

The previous prime is 313013133271. The next prime is 313013133331. The reversal of 313013133300 is 3331310313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1486980 + ... + 1684379.

It is an arithmetic number, because the mean of its divisors is an integer number (7340641280).

Almost surely, 2^313013133300 is an apocalyptic number.

313013133300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313013133300 is an abundant number, since it is smaller than the sum of its proper divisors (744039211020).

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

313013133300 is a wasteful number, since it uses less digits than its factorization.

313013133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171430 (or 3171423 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 313013133300 its reverse (3331310313), we get a palindrome (316344443613).

The spelling of 313013133300 in words is "three hundred thirteen billion, thirteen million, one hundred thirty-three thousand, three hundred".