13029138 has 24 divisors (see below), whose sum is σ = 28344576. Its totient is φ = 4325400.

The previous prime is 13029131. The next prime is 13029151. The reversal of 13029138 is 83192031.

13029138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13029131) 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, 3543 + ... + 6213.

It is an arithmetic number, because the mean of its divisors is an integer number (1181024).

Almost surely, 2^13029138 is an apocalyptic number.

13029138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13029138 is an abundant number, since it is smaller than the sum of its proper divisors (15315438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13029138 is a wasteful number, since it uses less digits than its factorization.

13029138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2947 counting only the distinct ones).

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

The square root of 13029138 is about 3609.5897273790. The cubic root of 13029138 is about 235.3090125301.

It can be divided in two parts, 1302 and 9138, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 13029138 in words is "thirteen million, twenty-nine thousand, one hundred thirty-eight".