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1322033022133 is a prime number
BaseRepresentation
bin10011001111001111010…
…011110000010010110101
311200101101202100221112221
4103033033103300102311
5133130010423202013
62451200015442341
7164341132163455
oct23171723602265
94611352327487
101322033022133
1146a7421a289a
121942762263b1
1397889a3bb45
1447db5883d65
15245c83c808d
hex133cf4f04b5

1322033022133 has 2 divisors, whose sum is σ = 1322033022134. Its totient is φ = 1322033022132.

The previous prime is 1322033022097. The next prime is 1322033022169. The reversal of 1322033022133 is 3312203302231.

It is a balanced prime because it is at equal distance from previous prime (1322033022097) and next prime (1322033022169).

It can be written as a sum of positive squares in only one way, i.e., 1270584348804 + 51448673329 = 1127202^2 + 226823^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322033022133 - 229 = 1321496151221 is a prime.

It is a super-2 number, since 2×13220330221332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322033022098 and 1322033022107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322033022433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661016511066 + 661016511067.

It is an arithmetic number, because the mean of its divisors is an integer number (661016511067).

Almost surely, 21322033022133 is an apocalyptic number.

It is an amenable number.

1322033022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322033022133 is an equidigital number, since it uses as much as digits as its factorization.

1322033022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1322033022133 its reverse (3312203302231), we get a palindrome (4634236324364).

The spelling of 1322033022133 in words is "one trillion, three hundred twenty-two billion, thirty-three million, twenty-two thousand, one hundred thirty-three".