313000200331000 has 256 divisors, whose sum is σ = 901495651230720. Its totient is φ = 99053352000000.

The previous prime is 313000200330967. The next prime is 313000200331033. The reversal of 313000200331000 is 133002000313.

It is an interprime number because it is at equal distance from previous prime (313000200330967) and next prime (313000200331033).

It is a super-2 number, since 2×313000200331000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1627984875 + ... + 1628177125.

It is an arithmetic number, because the mean of its divisors is an integer number (3521467387620).

Almost surely, 2^{313000200331000} 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 313000200331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450747825615360).

313000200331000 is an abundant number, since it is smaller than the sum of its proper divisors (588495450899720).

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

313000200331000 is a wasteful number, since it uses less digits than its factorization.

313000200331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210183 (or 210169 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 313000200331000 its reverse (133002000313), we get a palindrome (313133202331313).

The spelling of 313000200331000 in words is "three hundred thirteen trillion, two hundred million, three hundred thirty-one thousand".