330142121241033 has 32 divisors (see below), whose sum is σ = 464975757734400. Its totient is φ = 208064356770816.

The previous prime is 330142121241007. The next prime is 330142121241067.

330142121241033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 330142121241033 - 2⁶ = 330142121240969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330142121241083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188847793 + ... + 190587966.

It is an arithmetic number, because the mean of its divisors is an integer number (14530492429200).

Almost surely, 2^{330142121241033} is an apocalyptic number.

It is an amenable number.

330142121241033 is a deficient number, since it is larger than the sum of its proper divisors (134833636493367).

330142121241033 is a wasteful number, since it uses less digits than its factorization.

330142121241033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379436001.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 330142121241033 in words is "three hundred thirty trillion, one hundred forty-two billion, one hundred twenty-one million, two hundred forty-one thousand, thirty-three".