13213830 has 96 divisors (see below), whose sum is σ = 37674720. Its totient is φ = 2956800.

The previous prime is 13213829. The next prime is 13213831. The reversal of 13213830 is 3831231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13213829) and next prime (13213831).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13213797 and 13213806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130780 + ... + 130880.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 2^13213830 is an apocalyptic number.

13213830 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 13213830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360).

13213830 is an abundant number, since it is smaller than the sum of its proper divisors (24460890).

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

13213830 is a wasteful number, since it uses less digits than its factorization.

13213830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13213830 is about 3635.0832177544. The cubic root of 13213830 is about 236.4156588469.

It can be divided in two parts, 1321 and 3830, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 13213830 in words is "thirteen million, two hundred thirteen thousand, eight hundred thirty".