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133014022321337 is a prime number
BaseRepresentation
bin11110001111100110111101…
…100011001111010010111001
3122102222000102220202021220122
4132033212331203033102321
5114413300204203240322
61150521444232303025
740005642320552063
oct3617467543172271
9572860386667818
10133014022321337
1139422a25a28523
1212b03012b41a75
13592b22620ab41
1424bbcad4dc733
151059eeed7e442
hex78f9bd8cf4b9

133014022321337 has 2 divisors, whose sum is σ = 133014022321338. Its totient is φ = 133014022321336.

The previous prime is 133014022321291. The next prime is 133014022321381. The reversal of 133014022321337 is 733123220410331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132446861205136 + 567161116201 = 11508556^2 + 753101^2 .

It is a cyclic number.

It is not a de Polignac number, because 133014022321337 - 26 = 133014022321273 is a prime.

It is a super-2 number, since 2×1330140223213372 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133014022321297 and 133014022321306.

It is not a weakly prime, because it can be changed into another prime (133014022321637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66507011160668 + 66507011160669.

It is an arithmetic number, because the mean of its divisors is an integer number (66507011160669).

Almost surely, 2133014022321337 is an apocalyptic number.

It is an amenable number.

133014022321337 is a deficient number, since it is larger than the sum of its proper divisors (1).

133014022321337 is an equidigital number, since it uses as much as digits as its factorization.

133014022321337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 35.

Adding to 133014022321337 its reverse (733123220410331), we get a palindrome (866137242731668).

The spelling of 133014022321337 in words is "one hundred thirty-three trillion, fourteen billion, twenty-two million, three hundred twenty-one thousand, three hundred thirty-seven".