13135666653131 has 32 divisors (see below), whose sum is σ = 14740113024000. Its totient is φ = 11602053792000.

The previous prime is 13135666653127. The next prime is 13135666653133.

13135666653131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13135666653131 - 2² = 13135666653127 is a prime.

It is a super-2 number, since 2×13135666653131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13135666653131.

It is not an unprimeable number, because it can be changed into a prime (13135666653133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285851945 + ... + 285897893.

It is an arithmetic number, because the mean of its divisors is an integer number (460628532000).

Almost surely, 2^{13135666653131} is an apocalyptic number.

13135666653131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135666653131 is a deficient number, since it is larger than the sum of its proper divisors (1604446370869).

13135666653131 is a wasteful number, since it uses less digits than its factorization.

13135666653131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48611.

The product of its digits is 2624400, while the sum is 50.

It can be divided in two parts, 1313566 and 6653131, that added together give a palindrome (7966697).

The spelling of 13135666653131 in words is "thirteen trillion, one hundred thirty-five billion, six hundred sixty-six million, six hundred fifty-three thousand, one hundred thirty-one".