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10101220013 is a prime number
BaseRepresentation
bin10010110100001010…
…00110001010101101
3222001222020010212202
421122011012022231
5131141403020023
64350200111245
7505213645013
oct113205061255
928058203782
1010101220013
11431396a115
121b5aa65525
13c4c96a381
146bb7908b3
153e1c04128
hex25a1462ad

10101220013 has 2 divisors, whose sum is σ = 10101220014. Its totient is φ = 10101220012.

The previous prime is 10101220007. The next prime is 10101220043. The reversal of 10101220013 is 31002210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6232628809 + 3868591204 = 78947^2 + 62198^2 .

It is an emirp because it is prime and its reverse (31002210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101220013 - 218 = 10100957869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101219976 and 10101220003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101220043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050610006 + 5050610007.

It is an arithmetic number, because the mean of its divisors is an integer number (5050610007).

Almost surely, 210101220013 is an apocalyptic number.

It is an amenable number.

10101220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101220013 is an equidigital number, since it uses as much as digits as its factorization.

10101220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10101220013 its reverse (31002210101), we get a palindrome (41103430114).

The spelling of 10101220013 in words is "ten billion, one hundred one million, two hundred twenty thousand, thirteen".