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213012130301 is a prime number
BaseRepresentation
bin1100011001100010000…
…0110010100111111101
3202100211011220101121022
43012120200302213331
511442222101132201
6241504553113525
721250432142645
oct3063040624775
9670734811538
10213012130301
11823798812a3
12353493b88a5
131711907a269
14a44a2c7525
15581a9c041b
hex31988329fd

213012130301 has 2 divisors, whose sum is σ = 213012130302. Its totient is φ = 213012130300.

The previous prime is 213012130297. The next prime is 213012130313. The reversal of 213012130301 is 103031210312.

213012130301 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., 191604051076 + 21408079225 = 437726^2 + 146315^2 .

It is a cyclic number.

It is not a de Polignac number, because 213012130301 - 22 = 213012130297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213012130301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213012130351) 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, 106506065150 + 106506065151.

It is an arithmetic number, because the mean of its divisors is an integer number (106506065151).

Almost surely, 2213012130301 is an apocalyptic number.

It is an amenable number.

213012130301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213012130301 is an equidigital number, since it uses as much as digits as its factorization.

213012130301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213012130301 its reverse (103031210312), we get a palindrome (316043340613).

The spelling of 213012130301 in words is "two hundred thirteen billion, twelve million, one hundred thirty thousand, three hundred one".