138316311 has 24 divisors (see below), whose sum is σ = 229267584. Its totient is φ = 78714000.

The previous prime is 138316309. The next prime is 138316351. The reversal of 138316311 is 113613831.

138316311 is a `hidden beast` number, since 1 + 38 + 316 + 311 = 666.

It is not a de Polignac number, because 138316311 - 2¹ = 138316309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138316351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11440 + ... + 20186.

It is an arithmetic number, because the mean of its divisors is an integer number (9552816).

Almost surely, 2^138316311 is an apocalyptic number.

138316311 is a deficient number, since it is larger than the sum of its proper divisors (90951273).

138316311 is a wasteful number, since it uses less digits than its factorization.

138316311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 9008 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 138316311 is about 11760.7955088081. The cubic root of 138316311 is about 517.1594510839.

The spelling of 138316311 in words is "one hundred thirty-eight million, three hundred sixteen thousand, three hundred eleven".