11132120321 has 12 divisors (see below), whose sum is σ = 12952904580. Its totient is φ = 9539389440.

The previous prime is 11132120303. The next prime is 11132120323. The reversal of 11132120321 is 12302123111.

It can be written as a sum of positive squares in 2 ways, for example, as 6684697600 + 4447422721 = 81760^2 + 66689^2 .

It is not a de Polignac number, because 11132120321 - 2²⁶ = 11065011457 is a prime.

It is a super-5 number, since 5×11132120321⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11132120321.

It is not an unprimeable number, because it can be changed into a prime (11132120323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181025 + ... + 234593.

It is an arithmetic number, because the mean of its divisors is an integer number (1079408715).

Almost surely, 2^11132120321 is an apocalyptic number.

It is an amenable number.

11132120321 is a deficient number, since it is larger than the sum of its proper divisors (1820784259).

11132120321 is an equidigital number, since it uses as much as digits as its factorization.

11132120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57824 (or 57817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11132120321 its reverse (12302123111), we get a palindrome (23434243432).

The spelling of 11132120321 in words is "eleven billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty-one".