10344031004401 has 2 divisors, whose sum is σ = 10344031004402. Its totient is φ = 10344031004400.

The previous prime is 10344031004387. The next prime is 10344031004479. The reversal of 10344031004401 is 10440013044301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6862298920801 + 3481732083600 = 2619599^2 + 1865940^2 .

It is a cyclic number.

It is not a de Polignac number, because 10344031004401 - 2⁵ = 10344031004369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10344031004101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5172015502200 + 5172015502201.

It is an arithmetic number, because the mean of its divisors is an integer number (5172015502201).

Almost surely, 2^{10344031004401} is an apocalyptic number.

It is an amenable number.

10344031004401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344031004401 is an equidigital number, since it uses as much as digits as its factorization.

10344031004401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10344031004401 its reverse (10440013044301), we get a palindrome (20784044048702).

The spelling of 10344031004401 in words is "ten trillion, three hundred forty-four billion, thirty-one million, four thousand, four hundred one".