11032435323121 has 27 divisors (see below), whose sum is σ = 11918571472353. Its totient is φ = 10210059093120.

The previous prime is 11032435323031. The next prime is 11032435323149. The reversal of 11032435323121 is 12132353423011.

The square root of 11032435323121 is 3321511.

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 1017970013025 + 10014465310096 = 1008945^2 + 3164564^2 .

It is not a de Polignac number, because 11032435323121 - 2³⁵ = 10998075584753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11032435323821) 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, 3444405306 + ... + 3444408508.

Almost surely, 2^{11032435323121} is an apocalyptic number.

11032435323121 is the 3321511-st square number.

11032435323121 is the 1660756-th centered octagonal number.

It is an amenable number.

11032435323121 is a deficient number, since it is larger than the sum of its proper divisors (886136149232).

11032435323121 is an frugal number, since it uses more digits than its factorization.

11032435323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 11032435323121 its reverse (12132353423011), we get a palindrome (23164788746132).

The spelling of 11032435323121 in words is "eleven trillion, thirty-two billion, four hundred thirty-five million, three hundred twenty-three thousand, one hundred twenty-one".