13101211125521 has 12 divisors (see below), whose sum is σ = 13827254366772. Its totient is φ = 12411481271904.

The previous prime is 13101211125517. The next prime is 13101211125547. The reversal of 13101211125521 is 12552111210131.

It can be written as a sum of positive squares in 2 ways, for example, as 3588372490000 + 9512838635521 = 1894300^2 + 3084289^2 .

It is not a de Polignac number, because 13101211125521 - 2² = 13101211125517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101211125571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26584271 + ... + 27072603.

It is an arithmetic number, because the mean of its divisors is an integer number (1152271197231).

Almost surely, 2^{13101211125521} is an apocalyptic number.

It is an amenable number.

13101211125521 is a deficient number, since it is larger than the sum of its proper divisors (726043241251).

13101211125521 is an equidigital number, since it uses as much as digits as its factorization.

13101211125521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562688 (or 562669 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 26.

Adding to 13101211125521 its reverse (12552111210131), we get a palindrome (25653322335652).

The spelling of 13101211125521 in words is "thirteen trillion, one hundred one billion, two hundred eleven million, one hundred twenty-five thousand, five hundred twenty-one".