313719978390 has 256 divisors, whose sum is σ = 999251527680. Its totient is φ = 61177835520.

The previous prime is 313719978389. The next prime is 313719978391. The reversal of 313719978390 is 93879917313.

It is an interprime number because it is at equal distance from previous prime (313719978389) and next prime (313719978391).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313719978391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2052912 + ... + 2200428.

It is an arithmetic number, because the mean of its divisors is an integer number (3903326280).

Almost surely, 2^313719978390 is an apocalyptic number.

313719978390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313719978390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499625763840).

313719978390 is an abundant number, since it is smaller than the sum of its proper divisors (685531549290).

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

313719978390 is a wasteful number, since it uses less digits than its factorization.

313719978390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147607.

The product of its (nonzero) digits is 7715736, while the sum is 60.

The spelling of 313719978390 in words is "three hundred thirteen billion, seven hundred nineteen million, nine hundred seventy-eight thousand, three hundred ninety".