331211130002032 has 480 divisors, whose sum is σ = 777547825718400. Its totient is φ = 136603256832000.

The previous prime is 331211130002017. The next prime is 331211130002033. The reversal of 331211130002032 is 230200031112133.

It is a junction number, because it is equal to n+sod(n) for n = 331211130001994 and 331211130002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331211130002033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347545781268 + ... + 347545782220.

It is an arithmetic number, because the mean of its divisors is an integer number (1619891303580).

Almost surely, 2^{331211130002032} 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 331211130002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388773912859200).

331211130002032 is an abundant number, since it is smaller than the sum of its proper divisors (446336695716368).

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

331211130002032 is a wasteful number, since it uses less digits than its factorization.

331211130002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331211130002032 its reverse (230200031112133), we get a palindrome (561411161114165).

The spelling of 331211130002032 in words is "three hundred thirty-one trillion, two hundred eleven billion, one hundred thirty million, two thousand, thirty-two".