13135416202051 has 16 divisors (see below), whose sum is σ = 15431974477920. Its totient is φ = 11022614853120.

The previous prime is 13135416201931. The next prime is 13135416202061. The reversal of 13135416202051 is 15020261453131.

13135416202051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13135416202051 - 2³⁵ = 13101056463683 is a prime.

It is a super-2 number, since 2×13135416202051² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13135416201998 and 13135416202016.

It is not an unprimeable number, because it can be changed into a prime (13135416202061) 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, 15572635 + ... + 16394443.

It is an arithmetic number, because the mean of its divisors is an integer number (964498404870).

Almost surely, 2^{13135416202051} is an apocalyptic number.

13135416202051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135416202051 is a deficient number, since it is larger than the sum of its proper divisors (2296558275869).

13135416202051 is a wasteful number, since it uses less digits than its factorization.

13135416202051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933606.

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 13135416202051 its reverse (15020261453131), we get a palindrome (28155677655182).

The spelling of 13135416202051 in words is "thirteen trillion, one hundred thirty-five billion, four hundred sixteen million, two hundred two thousand, fifty-one".