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132213010100333 is a prime number
BaseRepresentation
bin11110000011111100111101…
…100000000111000001101101
3122100010102212222221101202012
4132003330331200013001231
5114312134221041202313
61145105452432411005
736564034433166311
oct3603747540070155
9570112788841665
10132213010100333
113914424a463148
12129b39256a6a65
1358a0830635836
142491202967b41
15104426cc94da8
hex783f3d80706d

132213010100333 has 2 divisors, whose sum is σ = 132213010100334. Its totient is φ = 132213010100332.

The previous prime is 132213010100291. The next prime is 132213010100341. The reversal of 132213010100333 is 333001010312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131516790077929 + 696220022404 = 11468077^2 + 834398^2 .

It is a cyclic number.

It is not a de Polignac number, because 132213010100333 - 226 = 132212942991469 is a prime.

It is a super-3 number, since 3×1322130101003333 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132213010100299 and 132213010100308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132213010100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66106505050166 + 66106505050167.

It is an arithmetic number, because the mean of its divisors is an integer number (66106505050167).

Almost surely, 2132213010100333 is an apocalyptic number.

It is an amenable number.

132213010100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

132213010100333 is an equidigital number, since it uses as much as digits as its factorization.

132213010100333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132213010100333 its reverse (333001010312231), we get a palindrome (465214020412564).

The spelling of 132213010100333 in words is "one hundred thirty-two trillion, two hundred thirteen billion, ten million, one hundred thousand, three hundred thirty-three".