313013232000 has 768 divisors, whose sum is σ = 1312228270080. Its totient is φ = 70013030400.

The previous prime is 313013231987. The next prime is 313013232001. The reversal of 313013232000 is 232310313.

313013232000 is a `hidden beast` number, since 313 + 0 + 1 + 32 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313013232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47372697 + ... + 47379303.

It is an arithmetic number, because the mean of its divisors is an integer number (1708630560).

Almost surely, 2^313013232000 is an apocalyptic number.

313013232000 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 313013232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656114135040).

313013232000 is an abundant number, since it is smaller than the sum of its proper divisors (999215038080).

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

313013232000 is a wasteful number, since it uses less digits than its factorization.

313013232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313013232000 its reverse (232310313), we get a palindrome (313245542313).

The spelling of 313013232000 in words is "three hundred thirteen billion, thirteen million, two hundred thirty-two thousand".