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213010012013 is a prime number
BaseRepresentation
bin1100011001100001100…
…0101101011101101101
3202100211000220202212012
43012120120231131231
511442221030341023
6241504435451005
721250405141121
oct3063030553555
9670730822765
10213010012013
1182378664847
1235348756a65
13171187b8036
14a449cd5581
15581a702978
hex319862d76d

213010012013 has 2 divisors, whose sum is σ = 213010012014. Its totient is φ = 213010012012.

The previous prime is 213010012009. The next prime is 213010012081. The reversal of 213010012013 is 310210010312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203001610249 + 10008401764 = 450557^2 + 100042^2 .

It is a cyclic number.

It is not a de Polignac number, because 213010012013 - 22 = 213010012009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213010012913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106505006006 + 106505006007.

It is an arithmetic number, because the mean of its divisors is an integer number (106505006007).

Almost surely, 2213010012013 is an apocalyptic number.

It is an amenable number.

213010012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213010012013 is an equidigital number, since it uses as much as digits as its factorization.

213010012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213010012013 its reverse (310210010312), we get a palindrome (523220022325).

The spelling of 213010012013 in words is "two hundred thirteen billion, ten million, twelve thousand, thirteen".