13137973641 has 27 divisors (see below), whose sum is σ = 20556132519. Its totient is φ = 8082155952.

The previous prime is 13137973603. The next prime is 13137973663. The reversal of 13137973641 is 14637973131.

The square root of 13137973641 is 114621.

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., 1943487225 + 11194486416 = 44085^2 + 105804^2 .

It is not a de Polignac number, because 13137973641 - 2¹¹ = 13137971593 is a prime.

It is a super-2 number, since 2×13137973641² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13137973601) 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, 4468750 + ... + 4471688.

Almost surely, 2^13137973641 is an apocalyptic number.

13137973641 is the 114621-st square number.

13137973641 is the 57311-st centered octagonal number.

It is an amenable number.

13137973641 is a deficient number, since it is larger than the sum of its proper divisors (7418158878).

13137973641 is an frugal number, since it uses more digits than its factorization.

13137973641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 2955 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 13137973641 in words is "thirteen billion, one hundred thirty-seven million, nine hundred seventy-three thousand, six hundred forty-one".