313079130 has 288 divisors, whose sum is σ = 1051674624. Its totient is φ = 64012032.

The previous prime is 313079101. The next prime is 313079161. The reversal of 313079130 is 31970313.

It is a junction number, because it is equal to n+sod(n) for n = 313079094 and 313079103.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2465127 + ... + 2465253.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2^313079130 is an apocalyptic number.

313079130 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 313079130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525837312).

313079130 is an abundant number, since it is smaller than the sum of its proper divisors (738595494).

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

313079130 is a wasteful number, since it uses less digits than its factorization.

313079130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 313079130 is about 17694.0422176506. The cubic root of 313079130 is about 679.0233456387.

The spelling of 313079130 in words is "three hundred thirteen million, seventy-nine thousand, one hundred thirty".