331330110000 has 100 divisors (see below), whose sum is σ = 1069577869272. Its totient is φ = 88354688000.

The previous prime is 331330109987. The next prime is 331330110019. The reversal of 331330110000 is 11033133.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×331330110000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5492169 + ... + 5552168.

Almost surely, 2^331330110000 is an apocalyptic number.

331330110000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331330110000 is an abundant number, since it is smaller than the sum of its proper divisors (738247759272).

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

331330110000 is a wasteful number, since it uses less digits than its factorization.

331330110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11044368 (or 11044347 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 331330110000 its reverse (11033133), we get a palindrome (331341143133).

It can be divided in two parts, 331330 and 110000, that added together give a triangular number (441330 = T₉₃₉).

The spelling of 331330110000 in words is "three hundred thirty-one billion, three hundred thirty million, one hundred ten thousand".