313130202000 has 1280 divisors, whose sum is σ = 1315307814912. Its totient is φ = 62208000000.

The previous prime is 313130201987. The next prime is 313130202001. The reversal of 313130202000 is 202031313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (313130202001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1155461865 + ... + 1155462135.

Almost surely, 2^313130202000 is an apocalyptic number.

313130202000 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 313130202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657653907456).

313130202000 is an abundant number, since it is smaller than the sum of its proper divisors (1002177612912).

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

313130202000 is a wasteful number, since it uses less digits than its factorization.

313130202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313130202000 its reverse (202031313), we get a palindrome (313332233313).

The spelling of 313130202000 in words is "three hundred thirteen billion, one hundred thirty million, two hundred two thousand".