10424442121013 has 2 divisors, whose sum is σ = 10424442121014. Its totient is φ = 10424442121012.

The previous prime is 10424442120971. The next prime is 10424442121021. The reversal of 10424442121013 is 31012124442401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9781337565169 + 643104555844 = 3127513^2 + 801938^2 .

It is a cyclic number.

It is not a de Polignac number, because 10424442121013 - 2¹⁶ = 10424442055477 is a prime.

It is a super-2 number, since 2×10424442121013² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10424442121043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5212221060506 + 5212221060507.

It is an arithmetic number, because the mean of its divisors is an integer number (5212221060507).

Almost surely, 2^{10424442121013} is an apocalyptic number.

It is an amenable number.

10424442121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10424442121013 is an equidigital number, since it uses as much as digits as its factorization.

10424442121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10424442121013 its reverse (31012124442401), we get a palindrome (41436566563414).

The spelling of 10424442121013 in words is "ten trillion, four hundred twenty-four billion, four hundred forty-two million, one hundred twenty-one thousand, thirteen".