331013300112000 has 1280 divisors, whose sum is σ = 1387404030355200. Its totient is φ = 77478460416000.

The previous prime is 331013300111933. The next prime is 331013300112043. The reversal of 331013300112000 is 211003310133.

It is a happy number.

331013300112000 is a `hidden beast` number, since 3 + 310 + 1 + 330 + 0 + 1 + 1 + 20 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 413023669 + ... + 413824331.

It is an arithmetic number, because the mean of its divisors is an integer number (1083909398715).

Almost surely, 2^{331013300112000} is an apocalyptic number.

331013300112000 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 331013300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693702015177600).

331013300112000 is an abundant number, since it is smaller than the sum of its proper divisors (1056390730243200).

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

331013300112000 is a wasteful number, since it uses less digits than its factorization.

331013300112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800744 (or 800713 counting only the distinct ones).

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

Adding to 331013300112000 its reverse (211003310133), we get a palindrome (331224303422133).

The spelling of 331013300112000 in words is "three hundred thirty-one trillion, thirteen billion, three hundred million, one hundred twelve thousand".