13130687129641 has 9 divisors (see below), whose sum is σ = 13267805746149. Its totient is φ = 12994971352704.

The previous prime is 13130687129621. The next prime is 13130687129647. The reversal of 13130687129641 is 14692178603131.

The square root of 13130687129641 is 3623629.

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

13130687129641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1469964681241 + 11660722448400 = 1212421^2 + 3414780^2 .

It is not a de Polignac number, because 13130687129641 - 2¹⁵ = 13130687096873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130687129647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 351473335 + ... + 351510691.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200638461).

Almost surely, 2^{13130687129641} is an apocalyptic number.

13130687129641 is the 3623629-th square number.

13130687129641 is the 1811815-th centered octagonal number.

It is an amenable number.

13130687129641 is a deficient number, since it is larger than the sum of its proper divisors (137118616508).

13130687129641 is an frugal number, since it uses more digits than its factorization.

13130687129641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74908 (or 37454 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 13130687129641 in words is "thirteen trillion, one hundred thirty billion, six hundred eighty-seven million, one hundred twenty-nine thousand, six hundred forty-one".