13006371 has 16 divisors (see below), whose sum is σ = 20044800. Its totient is φ = 7347648.

The previous prime is 13006363. The next prime is 13006379. The reversal of 13006371 is 17360031.

13006371 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 an interprime number because it is at equal distance from previous prime (13006363) and next prime (13006379).

It is not a de Polignac number, because 13006371 - 2³ = 13006363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13006379) 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, 1611 + ... + 5348.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 2^13006371 is an apocalyptic number.

13006371 is a deficient number, since it is larger than the sum of its proper divisors (7038429).

13006371 is an equidigital number, since it uses as much as digits as its factorization.

13006371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 13006371 is about 3606.4346659825. The cubic root of 13006371 is about 235.1718736613.

The spelling of 13006371 in words is "thirteen million, six thousand, three hundred seventy-one".