13383090000 has 800 divisors, whose sum is σ = 56185015040. Its totient is φ = 2985984000.

The previous prime is 13383089987. The next prime is 13383090023. The reversal of 13383090000 is 9038331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137969952 + ... + 137970048.

Almost surely, 2^13383090000 is an apocalyptic number.

13383090000 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 13383090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28092507520).

13383090000 is an abundant number, since it is smaller than the sum of its proper divisors (42801925040).

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

13383090000 is an equidigital number, since it uses as much as digits as its factorization.

13383090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13383090000 in words is "thirteen billion, three hundred eighty-three million, ninety thousand".