10220013002133 has 24 divisors (see below), whose sum is σ = 16642322984000. Its totient is φ = 6193947272040.

The previous prime is 10220013002119. The next prime is 10220013002197. The reversal of 10220013002133 is 33120031002201.

10220013002133 is a `hidden beast` number, since 10 + 220 + 0 + 1 + 300 + 2 + 133 = 666.

10220013002133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220013002133 - 2¹³ = 10220012993941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220013002113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564124833 + ... + 1564131366.

Almost surely, 2^{10220013002133} is an apocalyptic number.

It is an amenable number.

10220013002133 is a deficient number, since it is larger than the sum of its proper divisors (6422309981867).

10220013002133 is a wasteful number, since it uses less digits than its factorization.

10220013002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128256230 (or 3128256213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10220013002133 its reverse (33120031002201), we get a palindrome (43340044004334).

The spelling of 10220013002133 in words is "ten trillion, two hundred twenty billion, thirteen million, two thousand, one hundred thirty-three".