3130330321200 has 480 divisors, whose sum is σ = 10273185331200. Its totient is φ = 814612930560.

The previous prime is 3130330321193. The next prime is 3130330321207. The reversal of 3130330321200 is 21230330313.

It is an interprime number because it is at equal distance from previous prime (3130330321193) and next prime (3130330321207).

It is not an unprimeable number, because it can be changed into a prime (3130330321207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5157051297 + ... + 5157051903.

It is an arithmetic number, because the mean of its divisors is an integer number (21402469440).

Almost surely, 2^{3130330321200} is an apocalyptic number.

3130330321200 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 3130330321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136592665600).

3130330321200 is an abundant number, since it is smaller than the sum of its proper divisors (7142855010000).

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

3130330321200 is a wasteful number, since it uses less digits than its factorization.

3130330321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3130330321200 its reverse (21230330313), we get a palindrome (3151560651513).

The spelling of 3130330321200 in words is "three trillion, one hundred thirty billion, three hundred thirty million, three hundred twenty-one thousand, two hundred".