11331131121329 has 2 divisors, whose sum is σ = 11331131121330. Its totient is φ = 11331131121328.

The previous prime is 11331131121227. The next prime is 11331131121341. The reversal of 11331131121329 is 92312113113311.

11331131121329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10990232783104 + 340898338225 = 3315152^2 + 583865^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131121329 - 2³⁶ = 11262411644593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331131121295 and 11331131121304.

It is not a weakly prime, because it can be changed into another prime (11331131121029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565560664 + 5665565560665.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565560665).

Almost surely, 2^{11331131121329} is an apocalyptic number.

It is an amenable number.

11331131121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131121329 is an equidigital number, since it uses as much as digits as its factorization.

11331131121329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 32.

The spelling of 11331131121329 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-nine".