1306739338129 has 9 divisors (see below), whose sum is σ = 1317255987771. Its totient is φ = 1296306018000.

The previous prime is 1306739338117. The next prime is 1306739338139. The reversal of 1306739338129 is 9218339376031.

The square root of 1306739338129 is 1143127.

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., 232780195729 + 1073959142400 = 482473^2 + 1036320^2 .

It is not a de Polignac number, because 1306739338129 - 2¹¹ = 1306739336081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1306739338129.

It is not an unprimeable number, because it can be changed into a prime (1306739338139) 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, 145172629 + ... + 145181629.

It is an arithmetic number, because the mean of its divisors is an integer number (146361776419).

Almost surely, 2^{1306739338129} is an apocalyptic number.

1306739338129 is the 1143127-th square number.

1306739338129 is the 571564-th centered octagonal number.

It is an amenable number.

1306739338129 is a deficient number, since it is larger than the sum of its proper divisors (10516649642).

1306739338129 is an frugal number, since it uses more digits than its factorization.

1306739338129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18256 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 1306739338129 in words is "one trillion, three hundred six billion, seven hundred thirty-nine million, three hundred thirty-eight thousand, one hundred twenty-nine".