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213136160131 is a prime number
BaseRepresentation
bin1100011001111111100…
…1111011010110000011
3202101010211021202112201
43012133321323112003
511443000324111011
6241525143334031
721253466316646
oct3063771732603
9671124252481
10213136160131
1182432895794
1235382a51317
13171389854ab
14a45c971a5d
15582681ecc1
hex319fe7b583

213136160131 has 2 divisors, whose sum is σ = 213136160132. Its totient is φ = 213136160130.

The previous prime is 213136160057. The next prime is 213136160137. The reversal of 213136160131 is 131061631312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213136160131 - 229 = 212599289219 is a prime.

It is a super-2 number, since 2×2131361601312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213136160131.

It is not a weakly prime, because it can be changed into another prime (213136160137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106568080065 + 106568080066.

It is an arithmetic number, because the mean of its divisors is an integer number (106568080066).

Almost surely, 2213136160131 is an apocalyptic number.

213136160131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213136160131 is an equidigital number, since it uses as much as digits as its factorization.

213136160131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 213136160131 its reverse (131061631312), we get a palindrome (344197791443).

The spelling of 213136160131 in words is "two hundred thirteen billion, one hundred thirty-six million, one hundred sixty thousand, one hundred thirty-one".