313401300 has 72 divisors (see below), whose sum is σ = 908920992. Its totient is φ = 83376000.

The previous prime is 313401299. The next prime is 313401317. The reversal of 313401300 is 3104313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161335 + ... + 163265.

Almost surely, 2^313401300 is an apocalyptic number.

313401300 is a gapful number since it is divisible by the number (30) 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 313401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454460496).

313401300 is an abundant number, since it is smaller than the sum of its proper divisors (595519692).

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

313401300 is a wasteful number, since it uses less digits than its factorization.

313401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313401300 is about 17703.1437886043. The cubic root of 313401300 is about 679.2561791680.

Adding to 313401300 its reverse (3104313), we get a palindrome (316505613).

It can be divided in two parts, 31340 and 1300, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 313401300 in words is "three hundred thirteen million, four hundred one thousand, three hundred".