331002420032000 has 80 divisors (see below), whose sum is σ = 825375222160632. Its totient is φ = 132400967987200.

The previous prime is 331002420031979. The next prime is 331002420032021. The reversal of 331002420032000 is 230024200133.

It is an interprime number because it is at equal distance from previous prime (331002420031979) and next prime (331002420032021).

It can be written as a sum of positive squares in 4 ways, for example, as 76826487165184 + 254175932866816 = 8765072^2 + 15942896^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2585892407 + ... + 2586020406.

Almost surely, 2^{331002420032000} is an apocalyptic number.

It is an amenable number.

331002420032000 is an abundant number, since it is smaller than the sum of its proper divisors (494372802128632).

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

331002420032000 is an frugal number, since it uses more digits than its factorization.

331002420032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171912846 (or 5171912820 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 331002420032000 its reverse (230024200133), we get a palindrome (331232444232133).

The spelling of 331002420032000 in words is "three hundred thirty-one trillion, two billion, four hundred twenty million, thirty-two thousand".