313132350 has 192 divisors, whose sum is σ = 906370560. Its totient is φ = 70963200.

The previous prime is 313132319. The next prime is 313132387. The reversal of 313132350 is 53231313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114210 + ... + 1114490.

It is an arithmetic number, because the mean of its divisors is an integer number (4720680).

Almost surely, 2^313132350 is an apocalyptic number.

313132350 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 313132350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453185280).

313132350 is an abundant number, since it is smaller than the sum of its proper divisors (593238210).

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

313132350 is a wasteful number, since it uses less digits than its factorization.

313132350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 313132350 is about 17695.5460497833. The cubic root of 313132350 is about 679.0618189526.

Adding to 313132350 its reverse (53231313), we get a palindrome (366363663).

The spelling of 313132350 in words is "three hundred thirteen million, one hundred thirty-two thousand, three hundred fifty".