138029013 has 12 divisors (see below), whose sum is σ = 203137740. Its totient is φ = 90282816.

The previous prime is 138028999. The next prime is 138029029. The reversal of 138029013 is 310920831.

138029013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95296644 + 42732369 = 9762^2 + 6537^2 .

It is not a de Polignac number, because 138029013 - 2⁴ = 138028997 is a prime.

It is a super-3 number, since 3×138029013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138029113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144208 + ... + 145161.

It is an arithmetic number, because the mean of its divisors is an integer number (16928145).

Almost surely, 2^138029013 is an apocalyptic number.

It is an amenable number.

138029013 is a deficient number, since it is larger than the sum of its proper divisors (65108727).

138029013 is a wasteful number, since it uses less digits than its factorization.

138029013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289428 (or 289425 counting only the distinct ones).

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

The square root of 138029013 is about 11748.5749348591. The cubic root of 138029013 is about 516.8011374349.

Adding to 138029013 its reverse (310920831), we get a palindrome (448949844).

The spelling of 138029013 in words is "one hundred thirty-eight million, twenty-nine thousand, thirteen".