11331131121331 has 16 divisors (see below), whose sum is σ = 13302677880064. Its totient is φ = 9447899012064.

The previous prime is 11331131121329. The next prime is 11331131121341. The reversal of 11331131121331 is 13312113113311.

It is a cyclic number.

It is not a de Polignac number, because 11331131121331 - 2¹ = 11331131121329 is a prime.

It is a super-2 number, since 2×11331131121331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331131121296 and 11331131121305.

It is not an unprimeable number, because it can be changed into a prime (11331131121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408285 + ... + 5854798.

It is an arithmetic number, because the mean of its divisors is an integer number (831417367504).

Almost surely, 2^{11331131121331} is an apocalyptic number.

11331131121331 is a deficient number, since it is larger than the sum of its proper divisors (1971546758733).

11331131121331 is an equidigital number, since it uses as much as digits as its factorization.

11331131121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267850.

The product of its digits is 486, while the sum is 25.

Adding to 11331131121331 its reverse (13312113113311), we get a palindrome (24643244234642).

The spelling of 11331131121331 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred thirty-one".