313214134200 has 96 divisors (see below), whose sum is σ = 1059233276160. Its totient is φ = 75930697600.

The previous prime is 313214134199. The next prime is 313214134213. The reversal of 313214134200 is 2431412313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23721744 + ... + 23734943.

It is an arithmetic number, because the mean of its divisors is an integer number (11033679960).

Almost surely, 2^313214134200 is an apocalyptic number.

313214134200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313214134200 is an abundant number, since it is smaller than the sum of its proper divisors (746019141960).

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

313214134200 is a wasteful number, since it uses less digits than its factorization.

313214134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47456717 (or 47456708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313214134200 its reverse (2431412313), we get a palindrome (315645546513).

The spelling of 313214134200 in words is "three hundred thirteen billion, two hundred fourteen million, one hundred thirty-four thousand, two hundred".