313134230400000 has 264 divisors, whose sum is σ = 1043204372053200. Its totient is φ = 83502458880000.

The previous prime is 313134230399989. The next prime is 313134230400001. The reversal of 313134230400000 is 4032431313.

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

It is not an unprimeable number, because it can be changed into a prime (313134230400001) 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, 6709075 + ... + 25909074.

Almost surely, 2^{313134230400000} is an apocalyptic number.

313134230400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313134230400000 is an abundant number, since it is smaller than the sum of its proper divisors (730070141653200).

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

313134230400000 is an frugal number, since it uses more digits than its factorization.

313134230400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32618197 (or 32618159 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313134230400000 its reverse (4032431313), we get a palindrome (313138262831313).

The spelling of 313134230400000 in words is "three hundred thirteen trillion, one hundred thirty-four billion, two hundred thirty million, four hundred thousand".