11138232085201 has 9 divisors (see below), whose sum is σ = 12060972847899. Its totient is φ = 10281404952936.

The previous prime is 11138232085187. The next prime is 11138232085273. The reversal of 11138232085201 is 10258023283111.

The square root of 11138232085201 is 3337399.

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., 1647667468225 + 9490564616976 = 1283615^2 + 3080676^2 .

It is not a de Polignac number, because 11138232085201 - 2³¹ = 11136084601553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11138232085801) 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, 43257826 + ... + 43514548.

It is an arithmetic number, because the mean of its divisors is an integer number (1340108094211).

Almost surely, 2^{11138232085201} is an apocalyptic number.

11138232085201 is the 3337399-th square number.

11138232085201 is the 1668700-th centered octagonal number.

It is an amenable number.

11138232085201 is a deficient number, since it is larger than the sum of its proper divisors (922740762698).

11138232085201 is an frugal number, since it uses more digits than its factorization.

11138232085201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513472 (or 256736 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 11138232085201 in words is "eleven trillion, one hundred thirty-eight billion, two hundred thirty-two million, eighty-five thousand, two hundred one".