13890013 has 2 divisors, whose sum is σ = 13890014. Its totient is φ = 13890012.

The previous prime is 13890011. The next prime is 13890029. The reversal of 13890013 is 31009831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8139609 + 5750404 = 2853^2 + 2398^2 .

It is a cyclic number.

It is not a de Polignac number, because 13890013 - 2¹ = 13890011 is a prime.

It is a super-2 number, since 2×13890013² = 385864922280338, which contains 22 as substring.

Together with 13890011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13890013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13890011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6945006 + 6945007.

It is an arithmetic number, because the mean of its divisors is an integer number (6945007).

Almost surely, 2^13890013 is an apocalyptic number.

It is an amenable number.

13890013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13890013 is an equidigital number, since it uses as much as digits as its factorization.

13890013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13890013 is about 3726.9307747797. The cubic root of 13890013 is about 240.3814132047.

Adding to 13890013 its reverse (31009831), we get a palindrome (44899844).

The spelling of 13890013 in words is "thirteen million, eight hundred ninety thousand, thirteen".