13813020990 has 128 divisors (see below), whose sum is σ = 38518778880. Its totient is φ = 3515757696.

The previous prime is 13813020983. The next prime is 13813020997. The reversal of 13813020990 is 9902031831.

It is an interprime number because it is at equal distance from previous prime (13813020983) and next prime (13813020997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813020997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3245704 + ... + 3249956.

It is an arithmetic number, because the mean of its divisors is an integer number (300927960).

Almost surely, 2^13813020990 is an apocalyptic number.

13813020990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13813020990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259389440).

13813020990 is an abundant number, since it is smaller than the sum of its proper divisors (24705757890).

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

13813020990 is a wasteful number, since it uses less digits than its factorization.

13813020990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 13813020990 in words is "thirteen billion, eight hundred thirteen million, twenty thousand, nine hundred ninety".