13124331200340 has 72 divisors (see below), whose sum is σ = 40175705049480. Its totient is φ = 3467713192704.

The previous prime is 13124331200303. The next prime is 13124331200381. The reversal of 13124331200340 is 4300213342131.

It is a happy number.

13124331200340 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 3 + 312 + 0 + 0 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4205829859344 + 8918501340996 = 2050812^2 + 2986386^2 .

It is a super-2 number, since 2×13124331200340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334443459 + ... + 334482698.

It is an arithmetic number, because the mean of its divisors is an integer number (557995903465).

Almost surely, 2^{13124331200340} is an apocalyptic number.

13124331200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124331200340 is an abundant number, since it is smaller than the sum of its proper divisors (27051373849140).

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

13124331200340 is a wasteful number, since it uses less digits than its factorization.

13124331200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668926281 (or 668926276 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13124331200340 its reverse (4300213342131), we get a palindrome (17424544542471).

The spelling of 13124331200340 in words is "thirteen trillion, one hundred twenty-four billion, three hundred thirty-one million, two hundred thousand, three hundred forty".