10344133413 has 48 divisors (see below), whose sum is σ = 16120406016. Its totient is φ = 6373049760.

The previous prime is 10344133399. The next prime is 10344133441. The reversal of 10344133413 is 31433144301.

10344133413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344133413 - 2⁵ = 10344133381 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344143413) 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 47 ways as a sum of consecutive naturals, for example, 6204406 + ... + 6206072.

It is an arithmetic number, because the mean of its divisors is an integer number (335841792).

Almost surely, 2^10344133413 is an apocalyptic number.

It is an amenable number.

10344133413 is a deficient number, since it is larger than the sum of its proper divisors (5776272603).

10344133413 is a wasteful number, since it uses less digits than its factorization.

10344133413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2691 counting only the distinct ones).

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

Adding to 10344133413 its reverse (31433144301), we get a palindrome (41777277714).

The spelling of 10344133413 in words is "ten billion, three hundred forty-four million, one hundred thirty-three thousand, four hundred thirteen".