13000023313 has 4 divisors (see below), whose sum is σ = 13006177828. Its totient is φ = 12993868800.

The previous prime is 13000023293. The next prime is 13000023329. The reversal of 13000023313 is 31332000031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31332000031 = 1327 ⋅23611153.

It can be written as a sum of positive squares in 2 ways, for example, as 5258135169 + 7741888144 = 72513^2 + 87988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000023313 is a prime.

It is a super-2 number, since 2×13000023313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13000026313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3074088 + ... + 3078313.

It is an arithmetic number, because the mean of its divisors is an integer number (3251544457).

Almost surely, 2^13000023313 is an apocalyptic number.

It is an amenable number.

13000023313 is a deficient number, since it is larger than the sum of its proper divisors (6154515).

13000023313 is an equidigital number, since it uses as much as digits as its factorization.

13000023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154514.

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

Adding to 13000023313 its reverse (31332000031), we get a palindrome (44332023344).

The spelling of 13000023313 in words is "thirteen billion, twenty-three thousand, three hundred thirteen".