13213000 has 64 divisors (see below), whose sum is σ = 31515120. Its totient is φ = 5184000.

The previous prime is 13212967. The next prime is 13213001. The reversal of 13213000 is 31231.

It can be written as a sum of positive squares in 8 ways, for example, as 209764 + 13003236 = 458^2 + 3606^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72910 + ... + 73090.

Almost surely, 2^13213000 is an apocalyptic number.

13213000 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 13213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757560).

13213000 is an abundant number, since it is smaller than the sum of its proper divisors (18302120).

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

13213000 is a wasteful number, since it uses less digits than its factorization.

13213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13213000 is about 3634.9690507623. The cubic root of 13213000 is about 236.4107087528.

Adding to 13213000 its reverse (31231), we get a palindrome (13244231).

The spelling of 13213000 in words is "thirteen million, two hundred thirteen thousand".