313113400 has 96 divisors (see below), whose sum is σ = 751291200. Its totient is φ = 121305600.

The previous prime is 313113397. The next prime is 313113403. The reversal of 313113400 is 4311313.

It is an interprime number because it is at equal distance from previous prime (313113397) and next prime (313113403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313113403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155265 + ... + 1155535.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2^313113400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375645600).

313113400 is an abundant number, since it is smaller than the sum of its proper divisors (438177800).

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

313113400 is a wasteful number, since it uses less digits than its factorization.

313113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313113400 is about 17695.0105962104. The cubic root of 313113400 is about 679.0481202923.

Adding to 313113400 its reverse (4311313), we get a palindrome (317424713).

The spelling of 313113400 in words is "three hundred thirteen million, one hundred thirteen thousand, four hundred".