13101301220013 has 16 divisors (see below), whose sum is σ = 19509901651840. Its totient is φ = 8688945883392.

The previous prime is 13101301220009. The next prime is 13101301220099. The reversal of 13101301220013 is 31002210310131.

13101301220013 is a `hidden beast` number, since 1 + 310 + 130 + 1 + 220 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 13101301220013 - 2² = 13101301220009 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 (13101301227013) 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, 1257076081 + ... + 1257086502.

It is an arithmetic number, because the mean of its divisors is an integer number (1219368853240).

Almost surely, 2^{13101301220013} is an apocalyptic number.

It is an amenable number.

13101301220013 is a deficient number, since it is larger than the sum of its proper divisors (6408600431827).

13101301220013 is a wasteful number, since it uses less digits than its factorization.

13101301220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514162785 (or 2514162779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101301220013 its reverse (31002210310131), we get a palindrome (44103511530144).

The spelling of 13101301220013 in words is "thirteen trillion, one hundred one billion, three hundred one million, two hundred twenty thousand, thirteen".