13010223300013 has 8 divisors (see below), whose sum is σ = 13256102233368. Its totient is φ = 12764359293504.

The previous prime is 13010223299987. The next prime is 13010223300029. The reversal of 13010223300013 is 31000332201031.

It can be written as a sum of positive squares in 4 ways, for example, as 1711065437929 + 11299157862084 = 1308077^2 + 3361422^2 .

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 13010223300013 - 2³³ = 13001633365421 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 (13010223300043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1964206 + ... + 5466127.

It is an arithmetic number, because the mean of its divisors is an integer number (1657012779171).

Almost surely, 2^{13010223300013} is an apocalyptic number.

It is an amenable number.

13010223300013 is a deficient number, since it is larger than the sum of its proper divisors (245878933355).

13010223300013 is an equidigital number, since it uses as much as digits as its factorization.

13010223300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463423.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13010223300013 its reverse (31000332201031), we get a palindrome (44010555501044).

The spelling of 13010223300013 in words is "thirteen trillion, ten billion, two hundred twenty-three million, three hundred thousand, thirteen".