13013820 has 72 divisors (see below), whose sum is σ = 39783744. Its totient is φ = 3443328.

The previous prime is 13013813. The next prime is 13013827. The reversal of 13013820 is 2831031.

13013820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13013813) and next prime (13013827).

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 = 13013793 and 13013802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35277 + ... + 35643.

It is an arithmetic number, because the mean of its divisors is an integer number (552552).

Almost surely, 2^13013820 is an apocalyptic number.

13013820 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 13013820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891872).

13013820 is an abundant number, since it is smaller than the sum of its proper divisors (26769924).

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

13013820 is a wasteful number, since it uses less digits than its factorization.

13013820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

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

The square root of 13013820 is about 3607.4672555686. The cubic root of 13013820 is about 235.2167609186.

Adding to 13013820 its reverse (2831031), we get a palindrome (15844851).

The spelling of 13013820 in words is "thirteen million, thirteen thousand, eight hundred twenty".