331012143023232 has 128 divisors (see below), whose sum is σ = 959432294246400. Its totient is φ = 100280631075840.

The previous prime is 331012143023207. The next prime is 331012143023249. The reversal of 331012143023232 is 232320341210133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 331012143023232.

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 15 ways as a sum of consecutive naturals, for example, 6064569 + ... + 26434887.

It is an arithmetic number, because the mean of its divisors is an integer number (7495564798800).

Almost surely, 2^{331012143023232} is an apocalyptic number.

331012143023232 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 331012143023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479716147123200).

331012143023232 is an abundant number, since it is smaller than the sum of its proper divisors (628420151223168).

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

331012143023232 is a wasteful number, since it uses less digits than its factorization.

331012143023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20374194 (or 20374182 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 331012143023232 its reverse (232320341210133), we get a palindrome (563332484233365).

The spelling of 331012143023232 in words is "three hundred thirty-one trillion, twelve billion, one hundred forty-three million, twenty-three thousand, two hundred thirty-two".