2331330013200 has 120 divisors (see below), whose sum is σ = 7907322925728. Its totient is φ = 585118115840.

The previous prime is 2331330013189. The next prime is 2331330013211. The reversal of 2331330013200 is 23100331332.

It is an interprime number because it is at equal distance from previous prime (2331330013189) and next prime (2331330013211).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2331330013200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57120042 + ... + 57160841.

Almost surely, 2^{2331330013200} is an apocalyptic number.

2331330013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331330013200 is an abundant number, since it is smaller than the sum of its proper divisors (5575992912528).

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

2331330013200 is a wasteful number, since it uses less digits than its factorization.

2331330013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114280921 (or 114280910 counting only the distinct ones).

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

Adding to 2331330013200 its reverse (23100331332), we get a palindrome (2354430344532).

The spelling of 2331330013200 in words is "two trillion, three hundred thirty-one billion, three hundred thirty million, thirteen thousand, two hundred".