330304042131013 has 8 divisors (see below), whose sum is σ = 340005639172248. Its totient is φ = 320730943064064.

The previous prime is 330304042131001. The next prime is 330304042131043. The reversal of 330304042131013 is 310131240403033.

It can be written as a sum of positive squares in 4 ways, for example, as 63673744853889 + 266630297277124 = 7979583^2 + 16328818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330304042131013 - 2⁵ = 330304042130981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330304042131043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32124488356 + ... + 32124498637.

It is an arithmetic number, because the mean of its divisors is an integer number (42500704896531).

Almost surely, 2^{330304042131013} is an apocalyptic number.

It is an amenable number.

330304042131013 is a deficient number, since it is larger than the sum of its proper divisors (9701597041235).

330304042131013 is an equidigital number, since it uses as much as digits as its factorization.

330304042131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64248987143.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 330304042131013 its reverse (310131240403033), we get a palindrome (640435282534046).

The spelling of 330304042131013 in words is "three hundred thirty trillion, three hundred four billion, forty-two million, one hundred thirty-one thousand, thirteen".