13201253012513 has 8 divisors (see below), whose sum is σ = 13526857568616. Its totient is φ = 12875820969600.

The previous prime is 13201253012503. The next prime is 13201253012573. The reversal of 13201253012513 is 31521035210231.

It can be written as a sum of positive squares in 4 ways, for example, as 85932818449 + 13115320194064 = 293143^2 + 3621508^2 .

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 13201253012513 - 2²² = 13201248818209 is a prime.

It is a super-2 number, since 2×13201253012513² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13201253012503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42973358 + ... + 43279463.

It is an arithmetic number, because the mean of its divisors is an integer number (1690857196077).

Almost surely, 2^{13201253012513} is an apocalyptic number.

It is an amenable number.

13201253012513 is a deficient number, since it is larger than the sum of its proper divisors (325604556103).

13201253012513 is an equidigital number, since it uses as much as digits as its factorization.

13201253012513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86256595.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 13201253012513 its reverse (31521035210231), we get a palindrome (44722288222744).

The spelling of 13201253012513 in words is "thirteen trillion, two hundred one billion, two hundred fifty-three million, twelve thousand, five hundred thirteen".