13400013 has 16 divisors (see below), whose sum is σ = 19584000. Its totient is φ = 8082480.

The previous prime is 13399999. The next prime is 13400027. The reversal of 13400013 is 31000431.

13400013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13399999) and next prime (13400027).

It is not a de Polignac number, because 13400013 - 2⁶ = 13399949 is a prime.

It is a super-3 number, since 3×13400013³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7038 + ... + 8736.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 2^13400013 is an apocalyptic number.

It is an amenable number.

13400013 is a deficient number, since it is larger than the sum of its proper divisors (6183987).

13400013 is a wasteful number, since it uses less digits than its factorization.

13400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13400013 is about 3660.6028192089. The cubic root of 13400013 is about 237.5208506163.

Adding to 13400013 its reverse (31000431), we get a palindrome (44400444).

The spelling of 13400013 in words is "thirteen million, four hundred thousand, thirteen".