13743107361 has 27 divisors (see below), whose sum is σ = 20763995889. Its totient is φ = 8758562472.

The previous prime is 13743107293. The next prime is 13743107419. The reversal of 13743107361 is 16370134731.

The square root of 13743107361 is 117231.

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

It is not a de Polignac number, because 13743107361 - 2⁷ = 13743107233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13743100361) 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, 8088090 + ... + 8089788.

Almost surely, 2^13743107361 is an apocalyptic number.

13743107361 is the 117231-st square number.

13743107361 is the 58616-th centered octagonal number.

It is an amenable number.

13743107361 is a deficient number, since it is larger than the sum of its proper divisors (7020888528).

13743107361 is an frugal number, since it uses more digits than its factorization.

13743107361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 13743107361 by its sum of digits (36), we get a square (494751864996 = 703386²).

It can be divided in two parts, 13743 and 107361, that added together give a square (121104 = 348²).

The spelling of 13743107361 in words is "thirteen billion, seven hundred forty-three million, one hundred seven thousand, three hundred sixty-one".