2330004013 has 2 divisors, whose sum is σ = 2330004014. Its totient is φ = 2330004012.

The previous prime is 2330003981. The next prime is 2330004031. The reversal of 2330004013 is 3104000332.

Together with next prime (2330004031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210900804 + 1119103209 = 34798^2 + 33453^2 .

It is a cyclic number.

It is not a de Polignac number, because 2330004013 - 2⁵ = 2330003981 is a prime.

It is a super-2 number, since 2×2330004013² = 10857837401192208338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2330604013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165002006 + 1165002007.

It is an arithmetic number, because the mean of its divisors is an integer number (1165002007).

Almost surely, 2^2330004013 is an apocalyptic number.

It is an amenable number.

2330004013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2330004013 is an equidigital number, since it uses as much as digits as its factorization.

2330004013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2330004013 is about 48270.1151127693. The cubic root of 2330004013 is about 1325.7212663543.

Adding to 2330004013 its reverse (3104000332), we get a palindrome (5434004345).

The spelling of 2330004013 in words is "two billion, three hundred thirty million, four thousand, thirteen".