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213133122073 is a prime number
BaseRepresentation
bin1100011001111110111…
…0010101101000011001
3202101010121120102010001
43012133232111220121
511442444034401243
6241524554253001
721253431434434
oct3063756255031
9671117512101
10213133122073
11824311001a3
1235381a27161
1317138160721
14a45c3c081b
15582641ea4d
hex319fb95a19

213133122073 has 2 divisors, whose sum is σ = 213133122074. Its totient is φ = 213133122072.

The previous prime is 213133122011. The next prime is 213133122077. The reversal of 213133122073 is 370221331312.

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., 212049198144 + 1083923929 = 460488^2 + 32923^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133122073 - 225 = 213099567641 is a prime.

It is not a weakly prime, because it can be changed into another prime (213133122077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566561036 + 106566561037.

It is an arithmetic number, because the mean of its divisors is an integer number (106566561037).

Almost surely, 2213133122073 is an apocalyptic number.

It is an amenable number.

213133122073 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133122073 is an equidigital number, since it uses as much as digits as its factorization.

213133122073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 213133122073 its reverse (370221331312), we get a palindrome (583354453385).

The spelling of 213133122073 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred twenty-two thousand, seventy-three".