330031142993 has 16 divisors (see below), whose sum is σ = 349396787712. Its totient is φ = 311228784000.

The previous prime is 330031142981. The next prime is 330031143019. The reversal of 330031142993 is 399241130033.

It is a cyclic number.

It is not a de Polignac number, because 330031142993 - 2⁶ = 330031142929 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330031142393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931958 + ... + 1236368.

It is an arithmetic number, because the mean of its divisors is an integer number (21837299232).

Almost surely, 2^330031142993 is an apocalyptic number.

It is an amenable number.

330031142993 is a deficient number, since it is larger than the sum of its proper divisors (19365644719).

330031142993 is a wasteful number, since it uses less digits than its factorization.

330031142993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305336.

The product of its (nonzero) digits is 52488, while the sum is 38.

The spelling of 330031142993 in words is "three hundred thirty billion, thirty-one million, one hundred forty-two thousand, nine hundred ninety-three".