13444400100331 has 8 divisors (see below), whose sum is σ = 14028985555200. Its totient is φ = 12859818505512.

The previous prime is 13444400100317. The next prime is 13444400100337. The reversal of 13444400100331 is 13300100444431.

It is a happy number.

13444400100331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13444400100331 is a prime.

It is a super-2 number, since 2×13444400100331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13444400100331.

It is not an unprimeable number, because it can be changed into a prime (13444400100337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7875676 + ... + 9429478.

It is an arithmetic number, because the mean of its divisors is an integer number (1753623194400).

Almost surely, 2^{13444400100331} is an apocalyptic number.

13444400100331 is a deficient number, since it is larger than the sum of its proper divisors (584585454869).

13444400100331 is a wasteful number, since it uses less digits than its factorization.

13444400100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930025.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13444400100331 its reverse (13300100444431), we get a palindrome (26744500544762).

The spelling of 13444400100331 in words is "thirteen trillion, four hundred forty-four billion, four hundred million, one hundred thousand, three hundred thirty-one".