11332130540329 has 27 divisors (see below), whose sum is σ = 12214253844901. Its totient is φ = 10511545546880.

The previous prime is 11332130540323. The next prime is 11332130540371. The reversal of 11332130540329 is 92304503123311.

The square root of 11332130540329 is 3366323.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1929640483225 + 9402490057104 = 1389115^2 + 3066348^2 .

It is not a de Polignac number, because 11332130540329 - 2¹³ = 11332130532137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11332130540323) 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, 4063150467 + ... + 4063153255.

Almost surely, 2^{11332130540329} is an apocalyptic number.

11332130540329 is the 3366323-rd square number.

11332130540329 is the 1683162-nd centered octagonal number.

It is an amenable number.

11332130540329 is a deficient number, since it is larger than the sum of its proper divisors (882123304572).

11332130540329 is an frugal number, since it uses more digits than its factorization.

11332130540329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 11332130540329 in words is "eleven trillion, three hundred thirty-two billion, one hundred thirty million, five hundred forty thousand, three hundred twenty-nine".