10133232221133 has 64 divisors (see below), whose sum is σ = 17231074099200. Its totient is φ = 5765375620800.

The previous prime is 10133232221131. The next prime is 10133232221137. The reversal of 10133232221133 is 33112223233101.

10133232221133 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 323 + 222 + 113 + 3 = 666.

It is not a de Polignac number, because 10133232221133 - 2¹ = 10133232221131 is a prime.

It is a super-2 number, since 2×10133232221133² (a number of 27 digits) contains 22 as substring.

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 = 10133232221097 and 10133232221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133232221131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84488658 + ... + 84608508.

It is an arithmetic number, because the mean of its divisors is an integer number (269235532800).

Almost surely, 2^{10133232221133} is an apocalyptic number.

It is an amenable number.

10133232221133 is a deficient number, since it is larger than the sum of its proper divisors (7097841878067).

10133232221133 is a wasteful number, since it uses less digits than its factorization.

10133232221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121799 (or 121793 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10133232221133 its reverse (33112223233101), we get a palindrome (43245455454234).

The spelling of 10133232221133 in words is "ten trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred thirty-three".