313320031011000 has 640 divisors, whose sum is σ = 1198811765511360. Its totient is φ = 75860572032000.

The previous prime is 313320031010989. The next prime is 313320031011047. The reversal of 313320031011000 is 110130023313.

It is a happy number.

313320031011000 is a `hidden beast` number, since 31 + 3 + 320 + 0 + 310 + 1 + 1 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 61794067 + ... + 66671933.

Almost surely, 2^{313320031011000} is an apocalyptic number.

313320031011000 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 313320031011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599405882755680).

313320031011000 is an abundant number, since it is smaller than the sum of its proper divisors (885491734500360).

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

313320031011000 is a wasteful number, since it uses less digits than its factorization.

313320031011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877974 (or 4877951 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313320031011000 its reverse (110130023313), we get a palindrome (313430161034313).

The spelling of 313320031011000 in words is "three hundred thirteen trillion, three hundred twenty billion, thirty-one million, eleven thousand".