13112011201338 has 160 divisors (see below), whose sum is σ = 35496813306240. Its totient is φ = 3533882204160.

The previous prime is 13112011201337. The next prime is 13112011201409. The reversal of 13112011201338 is 83310211021131.

13112011201338 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 201 + 120 + 1 + 338 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13112011201337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3714298 + ... + 6326138.

It is an arithmetic number, because the mean of its divisors is an integer number (221855083164).

Almost surely, 2^{13112011201338} is an apocalyptic number.

13112011201338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112011201338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748406653120).

13112011201338 is an abundant number, since it is smaller than the sum of its proper divisors (22384802104902).

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

13112011201338 is a wasteful number, since it uses less digits than its factorization.

13112011201338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612114 (or 2612105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 13112011201338 its reverse (83310211021131), we get a palindrome (96422222222469).

The spelling of 13112011201338 in words is "thirteen trillion, one hundred twelve billion, eleven million, two hundred one thousand, three hundred thirty-eight".