13100166 has 48 divisors (see below), whose sum is σ = 31045248. Its totient is φ = 3974400.

The previous prime is 13100123. The next prime is 13100173. The reversal of 13100166 is 66100131.

13100166 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 super-2 number, since 2×13100166² = 343228698455112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 8796 + ... + 10176.

It is an arithmetic number, because the mean of its divisors is an integer number (646776).

Almost surely, 2^13100166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522624).

13100166 is an abundant number, since it is smaller than the sum of its proper divisors (17945082).

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

13100166 is a wasteful number, since it uses less digits than its factorization.

13100166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13100166 is about 3619.4151461251. The cubic root of 13100166 is about 235.7358314819.

Adding to 13100166 its reverse (66100131), we get a palindrome (79200297).

The spelling of 13100166 in words is "thirteen million, one hundred thousand, one hundred sixty-six".