313301157120 has 1080 divisors, whose sum is σ = 1346732601984. Its totient is φ = 67998154752.

The previous prime is 313301157089. The next prime is 313301157131. The reversal of 313301157120 is 21751103313.

It is a happy number.

313301157120 is a `hidden beast` number, since 31 + 3 + 30 + 11 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2286869692 + ... + 2286869828.

Almost surely, 2^313301157120 is an apocalyptic number.

313301157120 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 313301157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673366300992).

313301157120 is an abundant number, since it is smaller than the sum of its proper divisors (1033431444864).

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

313301157120 is an equidigital number, since it uses as much as digits as its factorization.

313301157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 313301157120 in words is "three hundred thirteen billion, three hundred one million, one hundred fifty-seven thousand, one hundred twenty".