313401312 has 240 divisors, whose sum is σ = 1100639232. Its totient is φ = 85536000.

The previous prime is 313401299. The next prime is 313401317. The reversal of 313401312 is 213104313.

313401312 is a `hidden beast` number, since 313 + 40 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313401317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 416937 + ... + 417687.

Almost surely, 2^313401312 is an apocalyptic number.

313401312 is a gapful number since it is divisible by the number (32) 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 313401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550319616).

313401312 is an abundant number, since it is smaller than the sum of its proper divisors (787237920).

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

313401312 is a wasteful number, since it uses less digits than its factorization.

313401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313401312 is about 17703.1441275272. The cubic root of 313401312 is about 679.2561878375.

Adding to 313401312 its reverse (213104313), we get a palindrome (526505625).

The spelling of 313401312 in words is "three hundred thirteen million, four hundred one thousand, three hundred twelve".