10021442312133 has 32 divisors (see below), whose sum is σ = 16971682406400. Its totient is φ = 5725134116208.

The previous prime is 10021442312131. The next prime is 10021442312201. The reversal of 10021442312133 is 33121324412001.

10021442312133 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 442 + 3 + 1 + 213 + 3 = 666.

It is not a de Polignac number, because 10021442312133 - 2¹ = 10021442312131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10021442312097 and 10021442312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021442312131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5728641 + ... + 7270502.

It is an arithmetic number, because the mean of its divisors is an integer number (530365075200).

Almost surely, 2^{10021442312133} is an apocalyptic number.

It is an amenable number.

10021442312133 is a deficient number, since it is larger than the sum of its proper divisors (6950240094267).

10021442312133 is a wasteful number, since it uses less digits than its factorization.

10021442312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003238 (or 13003232 counting only the distinct ones).

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

Adding to 10021442312133 its reverse (33121324412001), we get a palindrome (43142766724134).

The spelling of 10021442312133 in words is "ten trillion, twenty-one billion, four hundred forty-two million, three hundred twelve thousand, one hundred thirty-three".