3320131313000 has 32 divisors (see below), whose sum is σ = 7769107274760. Its totient is φ = 1328052524800.

The previous prime is 3320131312991. The next prime is 3320131313003. The reversal of 3320131313000 is 3131310233.

3320131313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1230817174084 + 2089314138916 = 1109422^2 + 1445446^2 .

It is a super-2 number, since 2×3320131313000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3320131313003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660064657 + ... + 1660066656.

Almost surely, 2^{3320131313000} is an apocalyptic number.

It is an amenable number.

3320131313000 is an abundant number, since it is smaller than the sum of its proper divisors (4448975961760).

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

3320131313000 is a wasteful number, since it uses less digits than its factorization.

3320131313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320131334 (or 3320131320 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3320131313000 its reverse (3131310233), we get a palindrome (3323262623233).

The spelling of 3320131313000 in words is "three trillion, three hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand".