13301820000 has 1440 divisors, whose sum is σ = 61896586752. Its totient is φ = 2737152000.

The previous prime is 13301819981. The next prime is 13301820001. The reversal of 13301820000 is 2810331.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301820001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 578339989 + ... + 578340011.

Almost surely, 2^13301820000 is an apocalyptic number.

13301820000 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 13301820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30948293376).

13301820000 is an abundant number, since it is smaller than the sum of its proper divisors (48594766752).

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

13301820000 is an equidigital number, since it uses as much as digits as its factorization.

13301820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 13301820000 in words is "thirteen billion, three hundred one million, eight hundred twenty thousand".