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213121121341 is a prime number
BaseRepresentation
bin1100011001111100000…
…0100011110000111101
3202101002202222201012111
43012133000203300331
511442433001340331
6241523445134021
721253224433042
oct3063700436075
9671082881174
10213121121341
1182425353937
12353799ba311
131713581b2bb
14a45a9791c9
15582534ddb1
hex319f023c3d

213121121341 has 2 divisors, whose sum is σ = 213121121342. Its totient is φ = 213121121340.

The previous prime is 213121121309. The next prime is 213121121393. The reversal of 213121121341 is 143121121312.

213121121341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114478015716 + 98643105625 = 338346^2 + 314075^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121121341 - 25 = 213121121309 is a prime.

It is a super-2 number, since 2×2131211213412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213121121141) 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, 106560560670 + 106560560671.

It is an arithmetic number, because the mean of its divisors is an integer number (106560560671).

Almost surely, 2213121121341 is an apocalyptic number.

It is an amenable number.

213121121341 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121121341 is an equidigital number, since it uses as much as digits as its factorization.

213121121341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

Adding to 213121121341 its reverse (143121121312), we get a palindrome (356242242653).

The spelling of 213121121341 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred forty-one".