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213010003013 is a prime number
BaseRepresentation
bin1100011001100001100…
…0101011010001000101
3202100211000220022111212
43012120120223101011
511442221030044023
6241504435341205
721250405102643
oct3063030532105
9670730808455
10213010003013
1182378659005
1235348751805
13171187b3c02
14a449cd2193
15581a6eee78
hex319862b445

213010003013 has 2 divisors, whose sum is σ = 213010003014. Its totient is φ = 213010003012.

The previous prime is 213010002979. The next prime is 213010003039. The reversal of 213010003013 is 310300010312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210659886529 + 2350116484 = 458977^2 + 48478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213010003013 is a prime.

It is a super-2 number, since 2×2130100030132 (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 (213010002013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106505001506 + 106505001507.

It is an arithmetic number, because the mean of its divisors is an integer number (106505001507).

Almost surely, 2213010003013 is an apocalyptic number.

It is an amenable number.

213010003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213010003013 is an equidigital number, since it uses as much as digits as its factorization.

213010003013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213010003013 its reverse (310300010312), we get a palindrome (523310013325).

The spelling of 213010003013 in words is "two hundred thirteen billion, ten million, three thousand, thirteen".