330101131233000 has 128 divisors (see below), whose sum is σ = 1031478381648000. Its totient is φ = 87893391219200.

The previous prime is 330101131232981. The next prime is 330101131233011. The reversal of 330101131233000 is 332131101033.

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 31 ways as a sum of consecutive naturals, for example, 81508365 + ... + 85462364.

It is an arithmetic number, because the mean of its divisors is an integer number (8058424856625).

Almost surely, 2^{330101131233000} is an apocalyptic number.

330101131233000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330101131233000 is an abundant number, since it is smaller than the sum of its proper divisors (701377250415000).

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

330101131233000 is a wasteful number, since it uses less digits than its factorization.

330101131233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166971412 (or 166971398 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 330101131233000 its reverse (332131101033), we get a palindrome (330433262334033).

The spelling of 330101131233000 in words is "three hundred thirty trillion, one hundred one billion, one hundred thirty-one million, two hundred thirty-three thousand".