331002233332320 has 96 divisors (see below), whose sum is σ = 1137444038196480. Its totient is φ = 80242965655040.

The previous prime is 331002233332291. The next prime is 331002233332333. The reversal of 331002233332320 is 23233332200133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×331002233332320² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31344903180 + ... + 31344913739.

It is an arithmetic number, because the mean of its divisors is an integer number (11848375397880).

Almost surely, 2^{331002233332320} is an apocalyptic number.

331002233332320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331002233332320 is an abundant number, since it is smaller than the sum of its proper divisors (806441804864160).

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

331002233332320 is a wasteful number, since it uses less digits than its factorization.

331002233332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62689816948 (or 62689816940 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 331002233332320 its reverse (23233332200133), we get a palindrome (354235565532453).

The spelling of 331002233332320 in words is "three hundred thirty-one trillion, two billion, two hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty".