13011736761 has 27 divisors (see below), whose sum is σ = 19226893231. Its totient is φ = 8479433184.

The previous prime is 13011736741. The next prime is 13011736781. The reversal of 13011736761 is 16763711031.

It is a happy number.

The square root of 13011736761 is 114069.

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

It is an interprime number because it is at equal distance from previous prime (13011736741) and next prime (13011736781).

It can be written as a sum of positive squares in only one way, i.e., 11453066361 + 1558670400 = 107019^2 + 39480^2 .

It is not a de Polignac number, because 13011736761 - 2⁵ = 13011736729 is a prime.

It is a super-2 number, since 2×13011736761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011736711) 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, 16083325 + ... + 16084133.

Almost surely, 2^13011736761 is an apocalyptic number.

13011736761 is the 114069-th square number.

13011736761 is the 57035-th centered octagonal number.

It is an amenable number.

13011736761 is a deficient number, since it is larger than the sum of its proper divisors (6215156470).

13011736761 is an frugal number, since it uses more digits than its factorization.

13011736761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Multiplying 13011736761 by its sum of digits (36), we get a square (468422523396 = 684414²).

Multiplying 13011736761 by its product of nonzero digits (15876), we get a square (206574332817636 = 14372694²).

The spelling of 13011736761 in words is "thirteen billion, eleven million, seven hundred thirty-six thousand, seven hundred sixty-one".