331201202001312 has 96 divisors (see below), whose sum is σ = 920622012532992. Its totient is φ = 103897512198144.

The previous prime is 331201202001289. The next prime is 331201202001331. The reversal of 331201202001312 is 213100202102133.

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

It is a super-2 number, since 2×331201202001312² (a number of 30 digits) contains 22 as substring.

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, 10863288 + ... + 27935880.

It is an arithmetic number, because the mean of its divisors is an integer number (9589812630552).

Almost surely, 2^{331201202001312} is an apocalyptic number.

331201202001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331201202001312 is an abundant number, since it is smaller than the sum of its proper divisors (589420810531680).

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

331201202001312 is a wasteful number, since it uses less digits than its factorization.

331201202001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17084510 (or 17084502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331201202001312 its reverse (213100202102133), we get a palindrome (544301404103445).

The spelling of 331201202001312 in words is "three hundred thirty-one trillion, two hundred one billion, two hundred two million, one thousand, three hundred twelve".