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10211210020013 is a prime number
BaseRepresentation
bin1001010010010111101110…
…0010111100010010101101
31100011011220210010221212012
42110211323202330102231
52314300024231120023
633414544244451005
72102510206033352
oct224457342742255
940134823127765
1010211210020013
11328760593a172
12118b0016a9a65
13590bb3a57022
14274321d50629
1512a93c5de978
hex9497b8bc4ad

10211210020013 has 2 divisors, whose sum is σ = 10211210020014. Its totient is φ = 10211210020012.

The previous prime is 10211210020009. The next prime is 10211210020019. The reversal of 10211210020013 is 31002001211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10181632211689 + 29577808324 = 3190867^2 + 171982^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211210020013 - 22 = 10211210020009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10211210020013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211210020019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105605010006 + 5105605010007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605010007).

Almost surely, 210211210020013 is an apocalyptic number.

It is an amenable number.

10211210020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211210020013 is an equidigital number, since it uses as much as digits as its factorization.

10211210020013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10211210020013 its reverse (31002001211201), we get a palindrome (41213211231214).

The spelling of 10211210020013 in words is "ten trillion, two hundred eleven billion, two hundred ten million, twenty thousand, thirteen".