331131132003012 has 384 divisors, whose sum is σ = 933653893939200. Its totient is φ = 90209839449600.

The previous prime is 331131132002999. The next prime is 331131132003131. The reversal of 331131132003012 is 210300231131133.

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, 7858047039 + ... + 7858089177.

It is an arithmetic number, because the mean of its divisors is an integer number (2431390348800).

Almost surely, 2^{331131132003012} 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 331131132003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466826946969600).

331131132003012 is an abundant number, since it is smaller than the sum of its proper divisors (602522761936188).

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

331131132003012 is a wasteful number, since it uses less digits than its factorization.

331131132003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44167 (or 44165 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331131132003012 its reverse (210300231131133), we get a palindrome (541431363134145).

The spelling of 331131132003012 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-two million, three thousand, twelve".