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11332012133137 is a prime number
BaseRepresentation
bin1010010011100111000010…
…0011101100101100010001
31111010022220102001120012011
42210321300203230230101
52441130430101230022
640033504323502521
72246465552562133
oct244716043545421
944108812046164
1011332012133137
113679974473693
121330277b27a41
136427b144c877
142b2688059053
15149b8944e977
hexa4e708ecb11

11332012133137 has 2 divisors, whose sum is σ = 11332012133138. Its totient is φ = 11332012133136.

The previous prime is 11332012133081. The next prime is 11332012133179. The reversal of 11332012133137 is 73133121023311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6583103851536 + 4748908281601 = 2565756^2 + 2179199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11332012133137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11332012133099 and 11332012133108.

It is not a weakly prime, because it can be changed into another prime (11332012131137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5666006066568 + 5666006066569.

It is an arithmetic number, because the mean of its divisors is an integer number (5666006066569).

Almost surely, 211332012133137 is an apocalyptic number.

It is an amenable number.

11332012133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11332012133137 is an equidigital number, since it uses as much as digits as its factorization.

11332012133137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 11332012133137 its reverse (73133121023311), we get a palindrome (84465133156448).

The spelling of 11332012133137 in words is "eleven trillion, three hundred thirty-two billion, twelve million, one hundred thirty-three thousand, one hundred thirty-seven".