11301133132231 has 16 divisors (see below), whose sum is σ = 11779107200640. Its totient is φ = 10829084232960.

The previous prime is 11301133132199. The next prime is 11301133132259. The reversal of 11301133132231 is 13223133110311.

It is a cyclic number.

It is not a de Polignac number, because 11301133132231 - 2⁵ = 11301133132199 is a prime.

It is a super-3 number, since 3×11301133132231³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11301133132196 and 11301133132205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301133132291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15621730 + ... + 16329136.

It is an arithmetic number, because the mean of its divisors is an integer number (736194200040).

Almost surely, 2^{11301133132231} is an apocalyptic number.

11301133132231 is a deficient number, since it is larger than the sum of its proper divisors (477974068409).

11301133132231 is a wasteful number, since it uses less digits than its factorization.

11301133132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711594.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 11301133132231 its reverse (13223133110311), we get a palindrome (24524266242542).

The spelling of 11301133132231 in words is "eleven trillion, three hundred one billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty-one".