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132020133137 is a prime number
BaseRepresentation
bin111101011110100000…
…0110101110100010001
3110121202201011122022122
41322331000311310101
54130334123230022
6140352121344025
712352403421224
oct1727500656421
9417681148278
10132020133137
1150a97a18052
1221705338015
13c5ac57aa99
1465658c55bb
15367a3a1742
hex1ebd035d11

132020133137 has 2 divisors, whose sum is σ = 132020133138. Its totient is φ = 132020133136.

The previous prime is 132020133013. The next prime is 132020133139. The reversal of 132020133137 is 731331020231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98046639376 + 33973493761 = 313124^2 + 184319^2 .

It is a cyclic number.

It is not a de Polignac number, because 132020133137 - 234 = 114840263953 is a prime.

It is a super-2 number, since 2×1320201331372 (a number of 23 digits) contains 22 as substring.

Together with 132020133139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (132020133139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66010066568 + 66010066569.

It is an arithmetic number, because the mean of its divisors is an integer number (66010066569).

Almost surely, 2132020133137 is an apocalyptic number.

It is an amenable number.

132020133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

132020133137 is an equidigital number, since it uses as much as digits as its factorization.

132020133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 132020133137 its reverse (731331020231), we get a palindrome (863351153368).

The spelling of 132020133137 in words is "one hundred thirty-two billion, twenty million, one hundred thirty-three thousand, one hundred thirty-seven".