313400251120 has 240 divisors, whose sum is σ = 836782442496. Its totient is φ = 108950054400.

The previous prime is 313400251093. The next prime is 313400251123. The reversal of 313400251120 is 21152004313.

It is a happy number.

It is a super-2 number, since 2×313400251120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 313400251091 and 313400251100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313400251123) 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, 24900349 + ... + 24912931.

Almost surely, 2^313400251120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313400251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418391221248).

313400251120 is an abundant number, since it is smaller than the sum of its proper divisors (523382191376).

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

313400251120 is a wasteful number, since it uses less digits than its factorization.

313400251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12732 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 313400251120 its reverse (21152004313), we get a palindrome (334552255433).

The spelling of 313400251120 in words is "three hundred thirteen billion, four hundred million, two hundred fifty-one thousand, one hundred twenty".