13111122233331 has 16 divisors (see below), whose sum is σ = 19428965739520. Its totient is φ = 8738461728360.

The previous prime is 13111122233221. The next prime is 13111122233333. The reversal of 13111122233331 is 13333222111131.

13111122233331 is a `hidden beast` number, since 1 + 311 + 1 + 12 + 2 + 2 + 3 + 3 + 331 = 666.

It is not a de Polignac number, because 13111122233331 - 2¹⁴ = 13111122216947 is a prime.

It is a super-2 number, since 2×13111122233331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13111122233295 and 13111122233304.

It is not an unprimeable number, because it can be changed into a prime (13111122233333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63406735 + ... + 63613176.

It is an arithmetic number, because the mean of its divisors is an integer number (1214310358720).

Almost surely, 2^{13111122233331} is an apocalyptic number.

13111122233331 is a deficient number, since it is larger than the sum of its proper divisors (6317843506189).

13111122233331 is a wasteful number, since it uses less digits than its factorization.

13111122233331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127023743 (or 127023737 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13111122233331 its reverse (13333222111131), we get a palindrome (26444344344462).

The spelling of 13111122233331 in words is "thirteen trillion, one hundred eleven billion, one hundred twenty-two million, two hundred thirty-three thousand, three hundred thirty-one".