13182101 has 6 divisors (see below), whose sum is σ = 13549410. Its totient is φ = 12824496.

The previous prime is 13182077. The next prime is 13182109. The reversal of 13182101 is 10128131.

It can be written as a sum of positive squares in 3 ways, for example, as 11356900 + 1825201 = 3370^2 + 1351^2 .

It is not a de Polignac number, because 13182101 - 2¹⁸ = 12919957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13182101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3446 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (2258235).

Almost surely, 2^13182101 is an apocalyptic number.

It is an amenable number.

13182101 is a deficient number, since it is larger than the sum of its proper divisors (367309).

13182101 is an frugal number, since it uses more digits than its factorization.

13182101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 13182101 is about 3630.7163205076. The cubic root of 13182101 is about 236.2262803841.

The spelling of 13182101 in words is "thirteen million, one hundred eighty-two thousand, one hundred one".