313934126829120 has 1344 divisors, whose sum is σ = 1360748581113600. Its totient is φ = 67747199385600.

The previous prime is 313934126829107. The next prime is 313934126829149. The reversal of 313934126829120 is 21928621439313.

It is a happy number.

313934126829120 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 341 + 2 + 6 + 8 + 291 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2356778520 + ... + 2356911720.

It is an arithmetic number, because the mean of its divisors is an integer number (1012461741900).

Almost surely, 2^{313934126829120} is an apocalyptic number.

313934126829120 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 313934126829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680374290556800).

313934126829120 is an abundant number, since it is smaller than the sum of its proper divisors (1046814454284480).

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

313934126829120 is a wasteful number, since it uses less digits than its factorization.

313934126829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133553 (or 133530 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 313934126829120 in words is "three hundred thirteen trillion, nine hundred thirty-four billion, one hundred twenty-six million, eight hundred twenty-nine thousand, one hundred twenty".