313313142120 has 128 divisors (see below), whose sum is σ = 1053101831040. Its totient is φ = 73901859840.

The previous prime is 313313142097. The next prime is 313313142133. The reversal of 313313142120 is 21241313313.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 3158707 + ... + 3256386.

It is an arithmetic number, because the mean of its divisors is an integer number (8227358055).

Almost surely, 2^313313142120 is an apocalyptic number.

313313142120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313313142120 is an abundant number, since it is smaller than the sum of its proper divisors (739788688920).

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

313313142120 is a wasteful number, since it uses less digits than its factorization.

313313142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415155 (or 6415151 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 313313142120 its reverse (21241313313), we get a palindrome (334554455433).

The spelling of 313313142120 in words is "three hundred thirteen billion, three hundred thirteen million, one hundred forty-two thousand, one hundred twenty".