13301820 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 2737152.

The previous prime is 13301819. The next prime is 13301831. The reversal of 13301820 is 2810331.

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

It is a junction number, because it is equal to n+sod(n) for n = 13301793 and 13301802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578329 + ... + 578351.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^13301820 is an apocalyptic number.

13301820 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 13301820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

13301820 is an abundant number, since it is smaller than the sum of its proper divisors (39533508).

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

13301820 is a wasteful number, since it uses less digits than its factorization.

13301820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

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

The square root of 13301820 is about 3647.1660230925. The cubic root of 13301820 is about 236.9392569854.

The spelling of 13301820 in words is "thirteen million, three hundred one thousand, eight hundred twenty".