13135222881 has 81 divisors (see below), whose sum is σ = 21946212561. Its totient is φ = 7564194000.

The previous prime is 13135222879. The next prime is 13135222883. The reversal of 13135222881 is 18822253131.

The square root of 13135222881 is 114609.

It is a perfect power (a square), and thus also a powerful number.

13135222881 is a `hidden beast` number, since 1 + 3 + 1 + 352 + 228 + 81 = 666.

13135222881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13135222879) and next prime (13135222883).

It is not a de Polignac number, because 13135222881 - 2¹ = 13135222879 is a prime.

It is a super-2 number, since 2×13135222881² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13135222883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 86988156 + ... + 86988306.

Almost surely, 2^13135222881 is an apocalyptic number.

13135222881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135222881 is the 114609-th square number.

13135222881 is the 57305-th centered octagonal number.

It is an amenable number.

13135222881 is a deficient number, since it is larger than the sum of its proper divisors (8810989680).

13135222881 is a wasteful number, since it uses less digits than its factorization.

13135222881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Multiplying 13135222881 by its sum of digits (36), we get a square (472868023716 = 687654²).

The spelling of 13135222881 in words is "thirteen billion, one hundred thirty-five million, two hundred twenty-two thousand, eight hundred eighty-one".