13001430013 has 32 divisors (see below), whose sum is σ = 15598380672. Its totient is φ = 10681113600.

The previous prime is 13001429999. The next prime is 13001430019. The reversal of 13001430013 is 31003410031.

It is a cyclic number.

It is not a de Polignac number, because 13001430013 - 2²¹ = 12999332861 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 (13001430019) 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 31 ways as a sum of consecutive naturals, for example, 1425598 + ... + 1434688.

It is an arithmetic number, because the mean of its divisors is an integer number (487449396).

Almost surely, 2^13001430013 is an apocalyptic number.

13001430013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13001430013 is a deficient number, since it is larger than the sum of its proper divisors (2596950659).

13001430013 is a wasteful number, since it uses less digits than its factorization.

13001430013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13001430013 its reverse (31003410031), we get a palindrome (44004840044).

The spelling of 13001430013 in words is "thirteen billion, one million, four hundred thirty thousand, thirteen".