11331121202291 has 12 divisors (see below), whose sum is σ = 12464516389752. Its totient is φ = 10293040032000.

The previous prime is 11331121202267. The next prime is 11331121202311. The reversal of 11331121202291 is 19220212113311.

11331121202291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11331121202291 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331121202201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36112430 + ... + 36424851.

It is an arithmetic number, because the mean of its divisors is an integer number (1038709699146).

Almost surely, 2^{11331121202291} is an apocalyptic number.

11331121202291 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331121202291 is a deficient number, since it is larger than the sum of its proper divisors (1133395187461).

11331121202291 is a wasteful number, since it uses less digits than its factorization.

11331121202291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72538594 (or 72538583 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 11331121202291 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred two thousand, two hundred ninety-one".