313128690 has 64 divisors (see below), whose sum is σ = 860730624. Its totient is φ = 71417088.

The previous prime is 313128679. The next prime is 313128691. The reversal of 313128690 is 96821313.

It is a super-2 number, since 2×313128690² = 196099153002232200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313128691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115632 + ... + 118308.

It is an arithmetic number, because the mean of its divisors is an integer number (13448916).

Almost surely, 2^313128690 is an apocalyptic number.

313128690 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 313128690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430365312).

313128690 is an abundant number, since it is smaller than the sum of its proper divisors (547601934).

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

313128690 is a wasteful number, since it uses less digits than its factorization.

313128690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 313128690 is about 17695.4426336275. The cubic root of 313128690 is about 679.0591732386.

The spelling of 313128690 in words is "three hundred thirteen million, one hundred twenty-eight thousand, six hundred ninety".