331202001312 has 288 divisors, whose sum is σ = 1168068021120. Its totient is φ = 86682286080.

The previous prime is 331202001233. The next prime is 331202001421. The reversal of 331202001312 is 213100202133.

331202001312 is a `hidden beast` number, since 33 + 120 + 200 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385014 + ... + 3481482.

It is an arithmetic number, because the mean of its divisors is an integer number (4055791740).

Almost surely, 2^331202001312 is an apocalyptic number.

331202001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331202001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584034010560).

331202001312 is an abundant number, since it is smaller than the sum of its proper divisors (836866019808).

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

331202001312 is a wasteful number, since it uses less digits than its factorization.

331202001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96636 (or 96625 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331202001312 its reverse (213100202133), we get a palindrome (544302203445).

The spelling of 331202001312 in words is "three hundred thirty-one billion, two hundred two million, one thousand, three hundred twelve".