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133101331133 is a prime number
BaseRepresentation
bin111101111110101110…
…1010010001010111101
3110201120001122012010212
41323331131102022331
54140042420044013
6141051303242205
712421242435041
oct1737535221275
9421501565125
10133101331133
11514a2260111
1221967449365
13c722577704
14662932c021
1536e02716a8
hex1efd7522bd

133101331133 has 2 divisors, whose sum is σ = 133101331134. Its totient is φ = 133101331132.

The previous prime is 133101331091. The next prime is 133101331141. The reversal of 133101331133 is 331133101331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124043431204 + 9057899929 = 352198^2 + 95173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133101331133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133101331099 and 133101331108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133101301133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550665566 + 66550665567.

It is an arithmetic number, because the mean of its divisors is an integer number (66550665567).

Almost surely, 2133101331133 is an apocalyptic number.

It is an amenable number.

133101331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133101331133 is an equidigital number, since it uses as much as digits as its factorization.

133101331133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 133101331133 its reverse (331133101331), we get a palindrome (464234432464).

The spelling of 133101331133 in words is "one hundred thirty-three billion, one hundred one million, three hundred thirty-one thousand, one hundred thirty-three".