331211320000000 has 1280 divisors, whose sum is σ = 946448405210880. Its totient is φ = 114688000000000.

The previous prime is 331211319999983. The next prime is 331211320000031. The reversal of 331211320000000 is 23112133.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×331211320000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1288759999872 + ... + 1288760000128.

It is an arithmetic number, because the mean of its divisors is an integer number (739412816571).

Almost surely, 2^{331211320000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331211320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473224202605440).

331211320000000 is an abundant number, since it is smaller than the sum of its proper divisors (615237085210880).

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

331211320000000 is an frugal number, since it uses more digits than its factorization.

331211320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 331211320000000 its reverse (23112133), we get a palindrome (331211343112133).

The spelling of 331211320000000 in words is "three hundred thirty-one trillion, two hundred eleven billion, three hundred twenty million", and thus it is an aban number.