11233113113331 has 48 divisors (see below), whose sum is σ = 17200771860480. Its totient is φ = 7044396984000.

The previous prime is 11233113113281. The next prime is 11233113113333. The reversal of 11233113113331 is 13331131133211.

11233113113331 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 11 + 311 + 3 + 331 = 666.

It is not a de Polignac number, because 11233113113331 - 2¹⁰ = 11233113112307 is a prime.

It is a super-2 number, since 2×11233113113331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11233113113295 and 11233113113304.

It is not an unprimeable number, because it can be changed into a prime (11233113113333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17351736 + ... + 17987466.

It is an arithmetic number, because the mean of its divisors is an integer number (358349413760).

Almost surely, 2^{11233113113331} is an apocalyptic number.

11233113113331 is a deficient number, since it is larger than the sum of its proper divisors (5967658747149).

11233113113331 is a wasteful number, since it uses less digits than its factorization.

11233113113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636488 (or 636485 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 11233113113331 its reverse (13331131133211), we get a palindrome (24564244246542).

The spelling of 11233113113331 in words is "eleven trillion, two hundred thirty-three billion, one hundred thirteen million, one hundred thirteen thousand, three hundred thirty-one".