10138006711 has 32 divisors (see below), whose sum is σ = 11904330240. Its totient is φ = 8455176576.

The previous prime is 10138006699. The next prime is 10138006751. The reversal of 10138006711 is 11760083101.

10138006711 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10138006711 - 2⁷ = 10138006583 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10138006711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138006751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16538041 + ... + 16538653.

It is an arithmetic number, because the mean of its divisors is an integer number (372010320).

Almost surely, 2^10138006711 is an apocalyptic number.

10138006711 is a deficient number, since it is larger than the sum of its proper divisors (1766323529).

10138006711 is a wasteful number, since it uses less digits than its factorization.

10138006711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 10138006711 its reverse (11760083101), we get a palindrome (21898089812).

The spelling of 10138006711 in words is "ten billion, one hundred thirty-eight million, six thousand, seven hundred eleven".