12431100414401 has 2 divisors, whose sum is σ = 12431100414402. Its totient is φ = 12431100414400.

The previous prime is 12431100414349. The next prime is 12431100414431. The reversal of 12431100414401 is 10441400113421.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11439283604401 + 991816810000 = 3382201^2 + 995900^2 .

It is an emirp because it is prime and its reverse (10441400113421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12431100414401 - 2¹⁸ = 12431100152257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12431100414431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6215550207200 + 6215550207201.

It is an arithmetic number, because the mean of its divisors is an integer number (6215550207201).

Almost surely, 2^{12431100414401} is an apocalyptic number.

It is an amenable number.

12431100414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12431100414401 is an equidigital number, since it uses as much as digits as its factorization.

12431100414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 12431100414401 its reverse (10441400113421), we get a palindrome (22872500527822).

The spelling of 12431100414401 in words is "twelve trillion, four hundred thirty-one billion, one hundred million, four hundred fourteen thousand, four hundred one".