313129325422720 has 256 divisors, whose sum is σ = 802226055456000. Its totient is φ = 116609266892800.

The previous prime is 313129325422637. The next prime is 313129325422729. The reversal of 313129325422720 is 27224523921313.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (313129325422729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85931586 + ... + 89501374.

It is an arithmetic number, because the mean of its divisors is an integer number (3133695529125).

Almost surely, 2^{313129325422720} 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 313129325422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401113027728000).

313129325422720 is an abundant number, since it is smaller than the sum of its proper divisors (489096730033280).

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

313129325422720 is a wasteful number, since it uses less digits than its factorization.

313129325422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569991 (or 3569979 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 313129325422720 in words is "three hundred thirteen trillion, one hundred twenty-nine billion, three hundred twenty-five million, four hundred twenty-two thousand, seven hundred twenty".