313132345200 has 180 divisors, whose sum is σ = 1087093386600. Its totient is φ = 83468367360.

The previous prime is 313132345199. The next prime is 313132345219. The reversal of 313132345200 is 2543231313.

313132345200 is a `hidden beast` number, since 3 + 1 + 3 + 132 + 3 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×313132345200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9678651 + ... + 9710949.

Almost surely, 2^313132345200 is an apocalyptic number.

313132345200 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 313132345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543546693300).

313132345200 is an abundant number, since it is smaller than the sum of its proper divisors (773961041400).

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

313132345200 is a wasteful number, since it uses less digits than its factorization.

313132345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35016 (or 35002 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 313132345200 its reverse (2543231313), we get a palindrome (315675576513).

It can be divided in two parts, 3131323 and 45200, that added together give a cube (3176523 = 147³).

The spelling of 313132345200 in words is "three hundred thirteen billion, one hundred thirty-two million, three hundred forty-five thousand, two hundred".