313033132000 has 192 divisors, whose sum is σ = 810570196800. Its totient is φ = 118481356800.

The previous prime is 313033131973. The next prime is 313033132001. The reversal of 313033132000 is 231330313.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313033132001) by changing a digit.

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, 81242074 + ... + 81245926.

It is an arithmetic number, because the mean of its divisors is an integer number (4221719775).

Almost surely, 2^313033132000 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 313033132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405285098400).

313033132000 is an abundant number, since it is smaller than the sum of its proper divisors (497537064800).

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

313033132000 is a wasteful number, since it uses less digits than its factorization.

313033132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 313033132000 its reverse (231330313), we get a palindrome (313264462313).

The spelling of 313033132000 in words is "three hundred thirteen billion, thirty-three million, one hundred thirty-two thousand".