13091081600 has 96 divisors (see below), whose sum is σ = 32476269600. Its totient is φ = 5214218240.

The previous prime is 13091081579. The next prime is 13091081671. The reversal of 13091081600 is 618019031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 756242 + ... + 773358.

It is an arithmetic number, because the mean of its divisors is an integer number (338294475).

Almost surely, 2^13091081600 is an apocalyptic number.

13091081600 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 13091081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238134800).

13091081600 is an abundant number, since it is smaller than the sum of its proper divisors (19385188000).

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

13091081600 is a wasteful number, since it uses less digits than its factorization.

13091081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 13091081600 in words is "thirteen billion, ninety-one million, eighty-one thousand, six hundred".