13121113600 has 240 divisors, whose sum is σ = 38774089728. Its totient is φ = 4302397440.

The previous prime is 13121113591. The next prime is 13121113609. The reversal of 13121113600 is 631112131.

It is an interprime number because it is at equal distance from previous prime (13121113591) and next prime (13121113609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121113609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2057617 + ... + 2063983.

Almost surely, 2^13121113600 is an apocalyptic number.

13121113600 is a gapful number since it is divisible by the number (10) 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 13121113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19387044864).

13121113600 is an abundant number, since it is smaller than the sum of its proper divisors (25652976128).

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

13121113600 is an equidigital number, since it uses as much as digits as its factorization.

13121113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13121113600 its reverse (631112131), we get a palindrome (13752225731).

The spelling of 13121113600 in words is "thirteen billion, one hundred twenty-one million, one hundred thirteen thousand, six hundred".