13138382582007 has 16 divisors (see below), whose sum is σ = 17537871884160. Its totient is φ = 8748909967392.

The previous prime is 13138382581967. The next prime is 13138382582023. The reversal of 13138382582007 is 70028528383131.

13138382582007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13138382582007 - 2⁷ = 13138382581879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138382580007) 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, 21287788 + ... + 21896270.

It is an arithmetic number, because the mean of its divisors is an integer number (1096116992760).

Almost surely, 2^{13138382582007} is an apocalyptic number.

13138382582007 is a deficient number, since it is larger than the sum of its proper divisors (4399489302153).

13138382582007 is an equidigital number, since it uses as much as digits as its factorization.

13138382582007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616702.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 13138382582007 in words is "thirteen trillion, one hundred thirty-eight billion, three hundred eighty-two million, five hundred eighty-two thousand, seven".