11123131123332 has 72 divisors (see below), whose sum is σ = 28131833201472. Its totient is φ = 3705729048000.

The previous prime is 11123131123303. The next prime is 11123131123339. The reversal of 11123131123332 is 23332113132111.

11123131123332 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 313 + 1 + 12 + 3 + 332 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11123131123296 and 11123131123305.

It is not an unprimeable number, because it can be changed into a prime (11123131123339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750186903 + ... + 750201729.

It is an arithmetic number, because the mean of its divisors is an integer number (390719905576).

Almost surely, 2^{11123131123332} is an apocalyptic number.

11123131123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11123131123332 is an abundant number, since it is smaller than the sum of its proper divisors (17008702078140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11123131123332 is a wasteful number, since it uses less digits than its factorization.

11123131123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24569 (or 24564 counting only the distinct ones).

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

Adding to 11123131123332 its reverse (23332113132111), we get a palindrome (34455244255443).

The spelling of 11123131123332 in words is "eleven trillion, one hundred twenty-three billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred thirty-two".