10142212403133 has 24 divisors (see below), whose sum is σ = 15155538348600. Its totient is φ = 6528101658624.

The previous prime is 10142212403053. The next prime is 10142212403153. The reversal of 10142212403133 is 33130421224101.

10142212403133 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 221 + 2 + 403 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 560135490084 + 9582076913049 = 748422^2 + 3095493^2 .

It is not a de Polignac number, because 10142212403133 - 2²⁰ = 10142211354557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10142212403097 and 10142212403106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142212403153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7331641 + ... + 8604497.

It is an arithmetic number, because the mean of its divisors is an integer number (631480764525).

Almost surely, 2^{10142212403133} is an apocalyptic number.

It is an amenable number.

10142212403133 is a deficient number, since it is larger than the sum of its proper divisors (5013325945467).

10142212403133 is a wasteful number, since it uses less digits than its factorization.

10142212403133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303421 (or 1303418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10142212403133 its reverse (33130421224101), we get a palindrome (43272633627234).

The spelling of 10142212403133 in words is "ten trillion, one hundred forty-two billion, two hundred twelve million, four hundred three thousand, one hundred thirty-three".