13000233013 has 16 divisors (see below), whose sum is σ = 14624480880. Its totient is φ = 11494296576.

The previous prime is 13000232989. The next prime is 13000233017. The reversal of 13000233013 is 31033200031.

It can be written as a sum of positive squares in 8 ways, for example, as 259918884 + 12740314129 = 16122^2 + 112873^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000233013 - 2⁵ = 13000232981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000233017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338106 + ... + 374587.

It is an arithmetic number, because the mean of its divisors is an integer number (914030055).

Almost surely, 2^13000233013 is an apocalyptic number.

It is an amenable number.

13000233013 is a deficient number, since it is larger than the sum of its proper divisors (1624247867).

13000233013 is a wasteful number, since it uses less digits than its factorization.

13000233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712776.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13000233013 its reverse (31033200031), we get a palindrome (44033433044).

The spelling of 13000233013 in words is "thirteen billion, two hundred thirty-three thousand, thirteen".