13121536 has 48 divisors (see below), whose sum is σ = 27027000. Its totient is φ = 6365184.

The previous prime is 13121503. The next prime is 13121539. The reversal of 13121536 is 63512131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87990 + ... + 88138.

Almost surely, 2^13121536 is an apocalyptic number.

13121536 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 13121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513500).

13121536 is an abundant number, since it is smaller than the sum of its proper divisors (13905464).

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

13121536 is an equidigital number, since it uses as much as digits as its factorization.

13121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 13121536 is about 3622.3660775797. The cubic root of 13121536 is about 235.8639453271.

Adding to 13121536 its reverse (63512131), we get a palindrome (76633667).

The spelling of 13121536 in words is "thirteen million, one hundred twenty-one thousand, five hundred thirty-six".