13438083431 has 32 divisors (see below), whose sum is σ = 14978234880. Its totient is φ = 11998800000.

The previous prime is 13438083383. The next prime is 13438083433.

13438083431 is nontrivially palindromic in base 10.

13438083431 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 13438083431 - 2⁶ = 13438083367 is a prime.

It is a super-2 number, since 2×13438083431² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438083433) 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 31 ways as a sum of consecutive naturals, for example, 11077781 + ... + 11078993.

It is an arithmetic number, because the mean of its divisors is an integer number (468069840).

Almost surely, 2^13438083431 is an apocalyptic number.

13438083431 is a deficient number, since it is larger than the sum of its proper divisors (1540151449).

13438083431 is a wasteful number, since it uses less digits than its factorization.

13438083431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 13438083431 in words is "thirteen billion, four hundred thirty-eight million, eighty-three thousand, four hundred thirty-one".