313213033122 has 128 divisors (see below), whose sum is σ = 749780582400. Its totient is φ = 86104704000.

The previous prime is 313213033117. The next prime is 313213033127. The reversal of 313213033122 is 221330312313.

It is an interprime number because it is at equal distance from previous prime (313213033117) and next prime (313213033127).

It is a junction number, because it is equal to n+sod(n) for n = 313213033092 and 313213033101.

It is not an unprimeable number, because it can be changed into a prime (313213033127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20133247 + ... + 20148797.

It is an arithmetic number, because the mean of its divisors is an integer number (5857660800).

Almost surely, 2^313213033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313213033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374890291200).

313213033122 is an abundant number, since it is smaller than the sum of its proper divisors (436567549278).

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

313213033122 is a wasteful number, since it uses less digits than its factorization.

313213033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232.

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

Adding to 313213033122 its reverse (221330312313), we get a palindrome (534543345435).

The spelling of 313213033122 in words is "three hundred thirteen billion, two hundred thirteen million, thirty-three thousand, one hundred twenty-two".