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132213321101 is a prime number
BaseRepresentation
bin111101100100010000…
…1110010110110001101
3110122021011200121101102
41323020201302312031
54131233102233401
6140423222152445
712360240454361
oct1731041626615
9418234617342
10132213321101
1151086a78024
1221759b82725
13c6105bb5a4
1465834132a1
15368c31256b
hex1ec8872d8d

132213321101 has 2 divisors, whose sum is σ = 132213321102. Its totient is φ = 132213321100.

The previous prime is 132213321041. The next prime is 132213321103. The reversal of 132213321101 is 101123312231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74666109001 + 57547212100 = 273251^2 + 239890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132213321101 is a prime.

It is a super-2 number, since 2×1322133211012 (a number of 23 digits) contains 22 as substring.

Together with 132213321103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132213321103) 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, 66106660550 + 66106660551.

It is an arithmetic number, because the mean of its divisors is an integer number (66106660551).

Almost surely, 2132213321101 is an apocalyptic number.

It is an amenable number.

132213321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

132213321101 is an equidigital number, since it uses as much as digits as its factorization.

132213321101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132213321101 its reverse (101123312231), we get a palindrome (233336633332).

The spelling of 132213321101 in words is "one hundred thirty-two billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred one".