10442124202133 has 16 divisors (see below), whose sum is σ = 11457742222080. Its totient is φ = 9456852235584.

The previous prime is 10442124202127. The next prime is 10442124202157. The reversal of 10442124202133 is 33120242124401.

It is not a de Polignac number, because 10442124202133 - 2⁴⁰ = 9342612574357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442124202096 and 10442124202105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442124202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56932148 + ... + 57115266.

It is an arithmetic number, because the mean of its divisors is an integer number (716108888880).

Almost surely, 2^{10442124202133} is an apocalyptic number.

10442124202133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10442124202133 is a deficient number, since it is larger than the sum of its proper divisors (1015618019947).

10442124202133 is a wasteful number, since it uses less digits than its factorization.

10442124202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265948.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 10442124202133 its reverse (33120242124401), we get a palindrome (43562366326534).

The spelling of 10442124202133 in words is "ten trillion, four hundred forty-two billion, one hundred twenty-four million, two hundred two thousand, one hundred thirty-three".