13430013004013 has 8 divisors (see below), whose sum is σ = 13655944706040. Its totient is φ = 13205748695040.

The previous prime is 13430013004007. The next prime is 13430013004019. The reversal of 13430013004013 is 31040031003431.

It is an interprime number because it is at equal distance from previous prime (13430013004007) and next prime (13430013004019).

It can be written as a sum of positive squares in 4 ways, for example, as 487445537929 + 12942567466084 = 698173^2 + 3597578^2 .

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 13430013004013 - 2²⁴ = 13429996226797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13430013004013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430013004019) 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, 416832020 + ... + 416864237.

It is an arithmetic number, because the mean of its divisors is an integer number (1706993088255).

Almost surely, 2^{13430013004013} is an apocalyptic number.

It is an amenable number.

13430013004013 is a deficient number, since it is larger than the sum of its proper divisors (225931702027).

13430013004013 is an equidigital number, since it uses as much as digits as its factorization.

13430013004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833696527.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13430013004013 its reverse (31040031003431), we get a palindrome (44470044007444).

The spelling of 13430013004013 in words is "thirteen trillion, four hundred thirty billion, thirteen million, four thousand, thirteen".