313323122130 has 256 divisors, whose sum is σ = 836680181760. Its totient is φ = 74760192000.

The previous prime is 313323122053. The next prime is 313323122207. The reversal of 313323122130 is 31221323313.

It is an interprime number because it is at equal distance from previous prime (313323122053) and next prime (313323122207).

It is a super-2 number, since 2×313323122130² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313323122130.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150562690 + ... + 150564770.

It is an arithmetic number, because the mean of its divisors is an integer number (3268281960).

Almost surely, 2^313323122130 is an apocalyptic number.

313323122130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313323122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418340090880).

313323122130 is an abundant number, since it is smaller than the sum of its proper divisors (523357059630).

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

313323122130 is a wasteful number, since it uses less digits than its factorization.

313323122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313323122130 its reverse (31221323313), we get a palindrome (344544445443).

The spelling of 313323122130 in words is "three hundred thirteen billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty".