13121136 has 80 divisors (see below), whose sum is σ = 43052800. Its totient is φ = 3748032.

The previous prime is 13121117. The next prime is 13121159. The reversal of 13121136 is 63112131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^13121136 is an apocalyptic number.

13121136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526400).

13121136 is an abundant number, since it is smaller than the sum of its proper divisors (29931664).

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

13121136 is a wasteful number, since it uses less digits than its factorization.

13121136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4351 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13121136 is about 3622.3108646277. The cubic root of 13121136 is about 235.8615485921.

Adding to 13121136 its reverse (63112131), we get a palindrome (76233267).

The spelling of 13121136 in words is "thirteen million, one hundred twenty-one thousand, one hundred thirty-six".