11331131323121 has 8 divisors (see below), whose sum is σ = 11407268961000. Its totient is φ = 11254994882560.

The previous prime is 11331131323111. The next prime is 11331131323133. The reversal of 11331131323121 is 12132313113311.

11331131323121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194093994721 + 11137037328400 = 440561^2 + 3337220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11331131323121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331131323111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27065375 + ... + 27480843.

It is an arithmetic number, because the mean of its divisors is an integer number (1425908620125).

Almost surely, 2^{11331131323121} is an apocalyptic number.

It is an amenable number.

11331131323121 is a deficient number, since it is larger than the sum of its proper divisors (76137637879).

11331131323121 is a wasteful number, since it uses less digits than its factorization.

11331131323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598659.

The product of its digits is 972, while the sum is 26.

Adding to 11331131323121 its reverse (12132313113311), we get a palindrome (23463444436432).

The spelling of 11331131323121 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-one".