13195806129 has 45 divisors (see below), whose sum is σ = 21312139849. Its totient is φ = 7861908120.

The previous prime is 13195806119. The next prime is 13195806131. The reversal of 13195806129 is 92160859131.

The square root of 13195806129 is 114873.

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

13195806129 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 580 + 61 + 2 + 9 = 666.

It is not a de Polignac number, because 13195806129 - 2¹⁵ = 13195773361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13195806119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 223657702 + ... + 223657760.

Almost surely, 2^13195806129 is an apocalyptic number.

13195806129 is the 114873-rd square number.

13195806129 is the 57437-th centered octagonal number.

It is an amenable number.

13195806129 is a deficient number, since it is larger than the sum of its proper divisors (8116333720).

13195806129 is an frugal number, since it uses more digits than its factorization.

13195806129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 13195806129 in words is "thirteen billion, one hundred ninety-five million, eight hundred six thousand, one hundred twenty-nine".