13185101 has 2 divisors, whose sum is σ = 13185102. Its totient is φ = 13185100.

The previous prime is 13185097. The next prime is 13185103. The reversal of 13185101 is 10158131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12460900 + 724201 = 3530^2 + 851^2 .

It is a cyclic number.

It is not a de Polignac number, because 13185101 - 2² = 13185097 is a prime.

Together with 13185103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13185103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6592550 + 6592551.

It is an arithmetic number, because the mean of its divisors is an integer number (6592551).

Almost surely, 2^13185101 is an apocalyptic number.

It is an amenable number.

13185101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13185101 is an equidigital number, since it uses as much as digits as its factorization.

13185101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 13185101 is about 3631.1294386182. The cubic root of 13185101 is about 236.2441992548.

The spelling of 13185101 in words is "thirteen million, one hundred eighty-five thousand, one hundred one".