331231143212400 has 120 divisors (see below), whose sum is σ = 1061047902320560. Its totient is φ = 88327960197120.

The previous prime is 331231143212381. The next prime is 331231143212503. The reversal of 331231143212400 is 4212341132133.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 503975196 + ... + 504632004.

Almost surely, 2^{331231143212400} is an apocalyptic number.

331231143212400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331231143212400 is an abundant number, since it is smaller than the sum of its proper divisors (729816759108160).

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

331231143212400 is a wasteful number, since it uses less digits than its factorization.

331231143212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077083 (or 1077072 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 331231143212400 its reverse (4212341132133), we get a palindrome (335443484344533).

The spelling of 331231143212400 in words is "three hundred thirty-one trillion, two hundred thirty-one billion, one hundred forty-three million, two hundred twelve thousand, four hundred".