1319766713721 has 27 divisors (see below), whose sum is σ = 1912527689709. Its totient is φ = 876993126912.

The previous prime is 1319766713719. The next prime is 1319766713761. The reversal of 1319766713721 is 1273176679131.

It is a happy number.

The square root of 1319766713721 is 1148811.

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

1319766713721 is a `hidden beast` number, since 13 + 197 + 6 + 6 + 71 + 372 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 353210319225 + 966556394496 = 594315^2 + 983136^2 .

It is not a de Polignac number, because 1319766713721 - 2¹ = 1319766713719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1319766713711) 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, 1961020041 + ... + 1961020713.

Almost surely, 2^{1319766713721} is an apocalyptic number.

1319766713721 is the 1148811-st square number.

1319766713721 is the 574406-th centered octagonal number.

It is an amenable number.

1319766713721 is a deficient number, since it is larger than the sum of its proper divisors (592760975988).

1319766713721 is an frugal number, since it uses more digits than its factorization.

1319766713721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1245 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The spelling of 1319766713721 in words is "one trillion, three hundred nineteen billion, seven hundred sixty-six million, seven hundred thirteen thousand, seven hundred twenty-one".