11331121132331 has 64 divisors (see below), whose sum is σ = 15423169305600. Its totient is φ = 8038559232000.

The previous prime is 11331121132319. The next prime is 11331121132343. The reversal of 11331121132331 is 13323112113311.

It is an interprime number because it is at equal distance from previous prime (11331121132319) and next prime (11331121132343).

It is not a de Polignac number, because 11331121132331 - 2¹⁸ = 11331120870187 is a prime.

It is a super-2 number, since 2×11331121132331² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331121132331.

It is not an unprimeable number, because it can be changed into a prime (11331121132381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35566100 + ... + 35883278.

It is an arithmetic number, because the mean of its divisors is an integer number (240987020400).

Almost surely, 2^{11331121132331} is an apocalyptic number.

11331121132331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331121132331 is a deficient number, since it is larger than the sum of its proper divisors (4092048173269).

11331121132331 is a wasteful number, since it uses less digits than its factorization.

11331121132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317700.

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

Adding to 11331121132331 its reverse (13323112113311), we get a palindrome (24654233245642).

The spelling of 11331121132331 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-one".