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132213002101 is a prime number
BaseRepresentation
bin111101100100010000…
…0100100111101110101
3110122021011002101210121
41323020200210331311
54131233012031401
6140423211251541
712360234655345
oct1731040447565
9418234071717
10132213002101
115108687a394
1221759a49bb1
13c61050932b
14658336cd25
15368c29cca1
hex1ec8824f75

132213002101 has 2 divisors, whose sum is σ = 132213002102. Its totient is φ = 132213002100.

The previous prime is 132213002093. The next prime is 132213002107. The reversal of 132213002101 is 101200312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97000479601 + 35212522500 = 311449^2 + 187650^2 .

It is a cyclic number.

It is not a de Polignac number, because 132213002101 - 23 = 132213002093 is a prime.

It is a super-3 number, since 3×1322130021013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132213002107) 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, 66106501050 + 66106501051.

It is an arithmetic number, because the mean of its divisors is an integer number (66106501051).

Almost surely, 2132213002101 is an apocalyptic number.

It is an amenable number.

132213002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

132213002101 is an equidigital number, since it uses as much as digits as its factorization.

132213002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132213002101 its reverse (101200312231), we get a palindrome (233413314332).

The spelling of 132213002101 in words is "one hundred thirty-two billion, two hundred thirteen million, two thousand, one hundred one".