Search a number
-
+
213123201131 is a prime number
BaseRepresentation
bin1100011001111100100…
…0011111100001101011
3202101002220220101010202
43012133020133201223
511442434014414011
6241524001502415
721253251214421
oct3063710374153
9671086811122
10213123201131
1182426544475
123537a641a0b
1317136098b49
14a45ad5b111
15582561023b
hex319f21f86b

213123201131 has 2 divisors, whose sum is σ = 213123201132. Its totient is φ = 213123201130.

The previous prime is 213123201121. The next prime is 213123201133. The reversal of 213123201131 is 131102321312.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213123201131 is a prime.

It is a super-2 number, since 2×2131232011312 (a number of 23 digits) contains 22 as substring.

Together with 213123201133, 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 (213123201133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561600565 + 106561600566.

It is an arithmetic number, because the mean of its divisors is an integer number (106561600566).

Almost surely, 2213123201131 is an apocalyptic number.

213123201131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213123201131 is an equidigital number, since it uses as much as digits as its factorization.

213123201131 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 213123201131 its reverse (131102321312), we get a palindrome (344225522443).

The spelling of 213123201131 in words is "two hundred thirteen billion, one hundred twenty-three million, two hundred one thousand, one hundred thirty-one".