313131300 has 144 divisors (see below), whose sum is σ = 937689984. Its totient is φ = 80640000.

The previous prime is 313131257. The next prime is 313131317. The reversal of 313131300 is 3131313.

It is a super-2 number, since 2×313131300² = 196102422079380000, which contains 22 as substring.

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 313131300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299180 + ... + 1299420.

It is an arithmetic number, because the mean of its divisors is an integer number (6511736).

Almost surely, 2^313131300 is an apocalyptic number.

313131300 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 313131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468844992).

313131300 is an abundant number, since it is smaller than the sum of its proper divisors (624558684).

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

313131300 is a wasteful number, since it uses less digits than its factorization.

313131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 313131300 is about 17695.5163812758. The cubic root of 313131300 is about 679.0610599384.

Adding to 313131300 its reverse (3131313), we get a palindrome (316262613).

Multiplying 313131300 by its reverse (3131313), we get a square (980512110396900 = 31313130²).

313131300 divided by its reverse (3131313) gives a square (100 = 10²).

The spelling of 313131300 in words is "three hundred thirteen million, one hundred thirty-one thousand, three hundred".