13136511312 has 100 divisors (see below), whose sum is σ = 38738452500. Its totient is φ = 4296195072.

The previous prime is 13136511239. The next prime is 13136511313. The reversal of 13136511312 is 21311563131.

It is a happy number.

13136511312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 651 + 1 + 3 + 1 + 2 = 666.

13136511312 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 8289009936 + 4847501376 = 91044^2 + 69624^2 .

It is a super-2 number, since 2×13136511312² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136511313) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 26937 + ... + 164312.

It is an arithmetic number, because the mean of its divisors is an integer number (387384525).

Almost surely, 2^13136511312 is an apocalyptic number.

13136511312 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 13136511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369226250).

13136511312 is an abundant number, since it is smaller than the sum of its proper divisors (25601941188).

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

13136511312 is a wasteful number, since it uses less digits than its factorization.

13136511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191322 (or 191307 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The spelling of 13136511312 in words is "thirteen billion, one hundred thirty-six million, five hundred eleven thousand, three hundred twelve".