313120132000 has 192 divisors, whose sum is σ = 832706784000. Its totient is φ = 115028812800.

The previous prime is 313120131983. The next prime is 313120132019. The reversal of 313120132000 is 231021313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10332871 + ... + 10363129.

It is an arithmetic number, because the mean of its divisors is an integer number (4337014500).

Almost surely, 2^313120132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313120132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416353392000).

313120132000 is an abundant number, since it is smaller than the sum of its proper divisors (519586652000).

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

313120132000 is a wasteful number, since it uses less digits than its factorization.

313120132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30496 (or 30478 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313120132000 its reverse (231021313), we get a palindrome (313351153313).

The spelling of 313120132000 in words is "three hundred thirteen billion, one hundred twenty million, one hundred thirty-two thousand".