13214100 has 72 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 3315200.

The previous prime is 13214099. The next prime is 13214137. The reversal of 13214100 is 141231.

It is a happy number.

It is a super-2 number, since 2×13214100² = 349224877620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^13214100 is an apocalyptic number.

13214100 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 13214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

13214100 is an abundant number, since it is smaller than the sum of its proper divisors (27283308).

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

13214100 is a wasteful number, since it uses less digits than its factorization.

13214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13214100 is about 3635.1203556416. The cubic root of 13214100 is about 236.4172690738.

Adding to 13214100 its reverse (141231), we get a palindrome (13355331).

The spelling of 13214100 in words is "thirteen million, two hundred fourteen thousand, one hundred".