11153683321 has 9 divisors (see below), whose sum is σ = 12261110799. Its totient is φ = 10138656000.

The previous prime is 11153683279. The next prime is 11153683327. The reversal of 11153683321 is 12338635111.

The square root of 11153683321 is 105611.

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., 8637657721 + 2516025600 = 92939^2 + 50160^2 .

It is not a de Polignac number, because 11153683321 - 2⁹ = 11153682809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11153683327) 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, 1156921 + ... + 1166521.

Almost surely, 2^11153683321 is an apocalyptic number.

11153683321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11153683321 is the 105611-st square number.

11153683321 is the 52806-th centered octagonal number.

It is an amenable number.

11153683321 is a deficient number, since it is larger than the sum of its proper divisors (1107427478).

11153683321 is an frugal number, since it uses more digits than its factorization.

11153683321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19224 (or 9612 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The spelling of 11153683321 in words is "eleven billion, one hundred fifty-three million, six hundred eighty-three thousand, three hundred twenty-one".