13001013300213 has 16 divisors (see below), whose sum is σ = 19261107771840. Its totient is φ = 8667185902992.

The previous prime is 13001013300139. The next prime is 13001013300221. The reversal of 13001013300213 is 31200331010031.

It is a happy number.

13001013300213 is a `hidden beast` number, since 1 + 300 + 10 + 1 + 330 + 0 + 21 + 3 = 666.

It is not a de Polignac number, because 13001013300213 - 2⁸ = 13001013299957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001011300213) 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, 2806731 + ... + 5820632.

It is an arithmetic number, because the mean of its divisors is an integer number (1203819235740).

Almost surely, 2^{13001013300213} is an apocalyptic number.

It is an amenable number.

13001013300213 is a deficient number, since it is larger than the sum of its proper divisors (6260094471627).

13001013300213 is an equidigital number, since it uses as much as digits as its factorization.

13001013300213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683185 (or 8683179 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13001013300213 its reverse (31200331010031), we get a palindrome (44201344310244).

The spelling of 13001013300213 in words is "thirteen trillion, one billion, thirteen million, three hundred thousand, two hundred thirteen".