331331012100000 has 432 divisors, whose sum is σ = 1284766761227040. Its totient is φ = 80322667200000.

The previous prime is 331331012099999. The next prime is 331331012100043. The reversal of 331331012100000 is 1210133133.

It is a happy number.

331331012100000 is a `hidden beast` number, since 331 + 3 + 310 + 1 + 21 + 0 + 0 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6833890 + ... + 26633889.

It is an arithmetic number, because the mean of its divisors is an integer number (2973997132470).

Almost surely, 2^{331331012100000} is an apocalyptic number.

331331012100000 is a gapful number since it is divisible by the number (30) 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 331331012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642383380613520).

331331012100000 is an abundant number, since it is smaller than the sum of its proper divisors (953435749127040).

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

331331012100000 is a wasteful number, since it uses less digits than its factorization.

331331012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33467831 (or 33467800 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331331012100000 its reverse (1210133133), we get a palindrome (331332222233133).

The spelling of 331331012100000 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, twelve million, one hundred thousand".