13138034112 has 672 divisors, whose sum is σ = 48994283520. Its totient is φ = 3404021760.

The previous prime is 13138034059. The next prime is 13138034191. The reversal of 13138034112 is 21143083131.

13138034112 is a `hidden beast` number, since 1 + 313 + 8 + 0 + 341 + 1 + 2 = 666.

13138034112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57371214 + ... + 57371442.

It is an arithmetic number, because the mean of its divisors is an integer number (72908160).

Almost surely, 2^13138034112 is an apocalyptic number.

13138034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13138034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24497141760).

13138034112 is an abundant number, since it is smaller than the sum of its proper divisors (35856249408).

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

13138034112 is a wasteful number, since it uses less digits than its factorization.

13138034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13138034112 in words is "thirteen billion, one hundred thirty-eight million, thirty-four thousand, one hundred twelve".