331413132144 has 40 divisors (see below), whose sum is σ = 864152012160. Its totient is φ = 109438602688.

The previous prime is 331413132133. The next prime is 331413132157. The reversal of 331413132144 is 441231314133.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 32258604 + ... + 32268875.

It is an arithmetic number, because the mean of its divisors is an integer number (21603800304).

Almost surely, 2^331413132144 is an apocalyptic number.

It is an amenable number.

331413132144 is an abundant number, since it is smaller than the sum of its proper divisors (532738880016).

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

331413132144 is a wasteful number, since it uses less digits than its factorization.

331413132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64527597 (or 64527591 counting only the distinct ones).

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

Adding to 331413132144 its reverse (441231314133), we get a palindrome (772644446277).

The spelling of 331413132144 in words is "three hundred thirty-one billion, four hundred thirteen million, one hundred thirty-two thousand, one hundred forty-four".