313690126797120 has 896 divisors, whose sum is σ = 1053202813673472. Its totient is φ = 79017600614400.

The previous prime is 313690126797119. The next prime is 313690126797121. The reversal of 313690126797120 is 21797621096313.

It is an interprime number because it is at equal distance from previous prime (313690126797119) and next prime (313690126797121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313690126797121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199675445935 + ... + 199675447505.

It is an arithmetic number, because the mean of its divisors is an integer number (1175449568832).

Almost surely, 2^{313690126797120} is an apocalyptic number.

313690126797120 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 313690126797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526601406836736).

313690126797120 is an abundant number, since it is smaller than the sum of its proper divisors (739512686876352).

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

313690126797120 is a wasteful number, since it uses less digits than its factorization.

313690126797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 313690126797120 in words is "three hundred thirteen trillion, six hundred ninety billion, one hundred twenty-six million, seven hundred ninety-seven thousand, one hundred twenty".