3130311002000 has 240 divisors, whose sum is σ = 9482163071472. Its totient is φ = 990691430400.

The previous prime is 3130311001999. The next prime is 3130311002033. The reversal of 3130311002000 is 2001130313.

It can be written as a sum of positive squares in 8 ways, for example, as 2615866308496 + 514444693504 = 1617364^2 + 717248^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45464 + ... + 2502536.

Almost surely, 2^{3130311002000} 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 3130311002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741081535736).

3130311002000 is an abundant number, since it is smaller than the sum of its proper divisors (6351852069472).

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

3130311002000 is a wasteful number, since it uses less digits than its factorization.

3130311002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457123 (or 2457100 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 3130311002000 its reverse (2001130313), we get a palindrome (3132312132313).

The spelling of 3130311002000 in words is "three trillion, one hundred thirty billion, three hundred eleven million, two thousand".