13114143289 has 27 divisors (see below), whose sum is σ = 14883640527. Its totient is φ = 11548810416.

The previous prime is 13114143283. The next prime is 13114143299. The reversal of 13114143289 is 98234141131.

It is a happy number.

The square root of 13114143289 is 114517.

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

It can be written as a sum of positive squares in only one way, i.e., 1939962025 + 11174181264 = 44045^2 + 105708^2 .

It is not a de Polignac number, because 13114143289 - 2⁵ = 13114143257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13114143283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34240392 + ... + 34240774.

Almost surely, 2^13114143289 is an apocalyptic number.

13114143289 is the 114517-th square number.

13114143289 is the 57259-th centered octagonal number.

It is an amenable number.

13114143289 is a deficient number, since it is larger than the sum of its proper divisors (1769497238).

13114143289 is an frugal number, since it uses more digits than its factorization.

13114143289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

Multiplying 13114143289 by its product of digits (20736), we get a square (271934875240704 = 16490448²).

The spelling of 13114143289 in words is "thirteen billion, one hundred fourteen million, one hundred forty-three thousand, two hundred eighty-nine".