10412122324013 has 2 divisors, whose sum is σ = 10412122324014. Its totient is φ = 10412122324012.

The previous prime is 10412122323991. The next prime is 10412122324031. The reversal of 10412122324013 is 31042322121401.

It is a happy number.

Together with next prime (10412122324031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9455360551849 + 956761772164 = 3074957^2 + 978142^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412122324013 - 2³⁶ = 10343402847277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10412122324313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206061162006 + 5206061162007.

It is an arithmetic number, because the mean of its divisors is an integer number (5206061162007).

Almost surely, 2^{10412122324013} is an apocalyptic number.

It is an amenable number.

10412122324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412122324013 is an equidigital number, since it uses as much as digits as its factorization.

10412122324013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10412122324013 its reverse (31042322121401), we get a palindrome (41454444445414).

The spelling of 10412122324013 in words is "ten trillion, four hundred twelve billion, one hundred twenty-two million, three hundred twenty-four thousand, thirteen".