13130000032013 has 8 divisors (see below), whose sum is σ = 13153844492928. Its totient is φ = 13106156546224.

The previous prime is 13130000031991. The next prime is 13130000032129. The reversal of 13130000032013 is 31023000003131.

13130000032013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13130000032013 - 2²⁸ = 13129731596557 is a prime.

It is a super-2 number, since 2×13130000032013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13130000031982 and 13130000032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130000082013) 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, 30141920 + ... + 30574422.

It is an arithmetic number, because the mean of its divisors is an integer number (1644230561616).

Almost surely, 2^{13130000032013} is an apocalyptic number.

It is an amenable number.

13130000032013 is a deficient number, since it is larger than the sum of its proper divisors (23844460915).

13130000032013 is an equidigital number, since it uses as much as digits as its factorization.

13130000032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487563.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13130000032013 its reverse (31023000003131), we get a palindrome (44153000035144).

The spelling of 13130000032013 in words is "thirteen trillion, one hundred thirty billion, thirty-two thousand, thirteen".