13022100 has 288 divisors, whose sum is σ = 52496640. Its totient is φ = 2695680.

The previous prime is 13022099. The next prime is 13022129. The reversal of 13022100 is 122031.

It is a happy number.

13022100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245674 + ... + 245726.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 2^13022100 is an apocalyptic number.

13022100 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 13022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

13022100 is an abundant number, since it is smaller than the sum of its proper divisors (39474540).

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

13022100 is a wasteful number, since it uses less digits than its factorization.

13022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13022100 is about 3608.6146926487. The cubic root of 13022100 is about 235.2666356383.

Adding to 13022100 its reverse (122031), we get a palindrome (13144131).

The spelling of 13022100 in words is "thirteen million, twenty-two thousand, one hundred".