331231242142000 has 80 divisors (see below), whose sum is σ = 835739628115392. Its totient is φ = 126731953497600.

The previous prime is 331231242141967. The next prime is 331231242142057. The reversal of 331231242142000 is 241242132133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 331231242142000.

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 15 ways as a sum of consecutive naturals, for example, 3600293589 + ... + 3600385588.

Almost surely, 2^{331231242142000} is an apocalyptic number.

It is an amenable number.

331231242142000 is an abundant number, since it is smaller than the sum of its proper divisors (504508385973392).

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

331231242142000 is a wasteful number, since it uses less digits than its factorization.

331231242142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200679223 (or 7200679207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331231242142000 its reverse (241242132133), we get a palindrome (331472484274133).

It can be divided in two parts, 331231 and 242142000, that added together give a triangular number (242473231 = T₂₂₀₂₁).

The spelling of 331231242142000 in words is "three hundred thirty-one trillion, two hundred thirty-one billion, two hundred forty-two million, one hundred forty-two thousand".