313100032320 has 336 divisors, whose sum is σ = 1151590806288. Its totient is φ = 77802700800.

The previous prime is 313100032283. The next prime is 313100032327. The reversal of 313100032320 is 23230001313.

313100032320 is a `hidden beast` number, since 3 + 1 + 310 + 0 + 0 + 32 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3367713024 + 309732319296 = 58032^2 + 556536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313100032293 and 313100032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100032327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4913302 + ... + 4976618.

Almost surely, 2^313100032320 is an apocalyptic number.

313100032320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313100032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575795403144).

313100032320 is an abundant number, since it is smaller than the sum of its proper divisors (838490773968).

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

313100032320 is a wasteful number, since it uses less digits than its factorization.

313100032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63458 (or 63445 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313100032320 its reverse (23230001313), we get a palindrome (336330033633).

The spelling of 313100032320 in words is "three hundred thirteen billion, one hundred million, thirty-two thousand, three hundred twenty".