13135033053131 has 8 divisors (see below), whose sum is σ = 14329726824000. Its totient is φ = 11940439258440.

The previous prime is 13135033053089. The next prime is 13135033053143.

13135033053131 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 13135033053131 - 2¹⁰ = 13135033052107 is a prime.

It is a super-2 number, since 2×13135033053131² (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 (13135033053631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24719201 + ... + 25244978.

It is an arithmetic number, because the mean of its divisors is an integer number (1791215853000).

Almost surely, 2^{13135033053131} is an apocalyptic number.

13135033053131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135033053131 is a deficient number, since it is larger than the sum of its proper divisors (1194693770869).

13135033053131 is a wasteful number, since it uses less digits than its factorization.

13135033053131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49988089.

The product of its (nonzero) digits is 18225, while the sum is 32.

It can be divided in two parts, 1313503 and 3053131, that added together give a palindrome (4366634).

The spelling of 13135033053131 in words is "thirteen trillion, one hundred thirty-five billion, thirty-three million, fifty-three thousand, one hundred thirty-one".