13311852129 has 9 divisors (see below), whose sum is σ = 19228730833. Its totient is φ = 8874337332.

The previous prime is 13311852121. The next prime is 13311852139. The reversal of 13311852129 is 92125811331.

The square root of 13311852129 is 115377.

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

13311852129 is a `hidden beast` number, since 13 + 3 + 118 + 521 + 2 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13311852129 - 2³ = 13311852121 is a prime.

It is a super-5 number, since 5×13311852129⁵ (a number of 52 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13311852093 and 13311852102.

It is not an unprimeable number, because it can be changed into a prime (13311852121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 326902 + ... + 365360.

Almost surely, 2^13311852129 is an apocalyptic number.

13311852129 is the 115377-th square number.

13311852129 is the 57689-th centered octagonal number.

It is an amenable number.

13311852129 is a deficient number, since it is larger than the sum of its proper divisors (5916878704).

13311852129 is an frugal number, since it uses more digits than its factorization.

13311852129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76924 (or 38462 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

Multiplying 13311852129 by its sum of digits (36), we get a square (479226676644 = 692262²).

The spelling of 13311852129 in words is "thirteen billion, three hundred eleven million, eight hundred fifty-two thousand, one hundred twenty-nine".