13201311525513 has 8 divisors (see below), whose sum is σ = 17607953064768. Its totient is φ = 8797772168304.

The previous prime is 13201311525491. The next prime is 13201311525517. The reversal of 13201311525513 is 31552511310231.

13201311525513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13201311525513 - 2¹⁷ = 13201311394441 is a prime.

It is a super-3 number, since 3×13201311525513³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13201311525517) 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, 775535581 + ... + 775552602.

It is an arithmetic number, because the mean of its divisors is an integer number (2200994133096).

Almost surely, 2^{13201311525513} is an apocalyptic number.

It is an amenable number.

13201311525513 is a deficient number, since it is larger than the sum of its proper divisors (4406641539255).

13201311525513 is a wasteful number, since it uses less digits than its factorization.

13201311525513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551091023.

The product of its (nonzero) digits is 13500, while the sum is 33.

Adding to 13201311525513 its reverse (31552511310231), we get a palindrome (44753822835744).

The spelling of 13201311525513 in words is "thirteen trillion, two hundred one billion, three hundred eleven million, five hundred twenty-five thousand, five hundred thirteen".