22133012130133 has 2 divisors, whose sum is σ = 22133012130134. Its totient is φ = 22133012130132.

The previous prime is 22133012130067. The next prime is 22133012130139. The reversal of 22133012130133 is 33103121033122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22131162958129 + 1849172004 = 4704377^2 + 43002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22133012130133 is a prime.

It is a super-2 number, since 2×22133012130133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22133012130098 and 22133012130107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22133012130139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066506065066 + 11066506065067.

It is an arithmetic number, because the mean of its divisors is an integer number (11066506065067).

Almost surely, 2^{22133012130133} is an apocalyptic number.

It is an amenable number.

22133012130133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133012130133 is an equidigital number, since it uses as much as digits as its factorization.

22133012130133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 22133012130133 its reverse (33103121033122), we get a palindrome (55236133163255).

It can be divided in two parts, 2213301 and 2130133, that added together give a palindrome (4343434).

The spelling of 22133012130133 in words is "twenty-two trillion, one hundred thirty-three billion, twelve million, one hundred thirty thousand, one hundred thirty-three".