13323121133112 has 168 divisors, whose sum is σ = 43569107852400. Its totient is φ = 3806605956384.

The previous prime is 13323121133111. The next prime is 13323121133141. The reversal of 13323121133112 is 21133112132331.

13323121133112 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 312 + 1 + 1 + 331 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323121133111) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 23025312 + ... + 23596847.

Almost surely, 2^{13323121133112} is an apocalyptic number.

13323121133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13323121133112 is an abundant number, since it is smaller than the sum of its proper divisors (30245986719288).

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

13323121133112 is an equidigital number, since it uses as much as digits as its factorization.

13323121133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46622197 (or 46622171 counting only the distinct ones).

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

Adding to 13323121133112 its reverse (21133112132331), we get a palindrome (34456233265443).

The spelling of 13323121133112 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred twelve".