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210101202013 is a prime number
BaseRepresentation
bin1100001110101100000…
…0011110110001011101
3202002022022110220200111
43003223000132301131
511420241401431023
6240304045530021
721115334515363
oct3035300366135
9662268426614
10210101202013
118111571883a
1234876573911
1316a73c812a1
14a251869633
1556ea17300d
hex30eb01ec5d

210101202013 has 2 divisors, whose sum is σ = 210101202014. Its totient is φ = 210101202012.

The previous prime is 210101201993. The next prime is 210101202037. The reversal of 210101202013 is 310202101012.

210101202013 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., 190259098969 + 19842103044 = 436187^2 + 140862^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101202013 - 213 = 210101193821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210101201984 and 210101202002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210101202313) 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, 105050601006 + 105050601007.

It is an arithmetic number, because the mean of its divisors is an integer number (105050601007).

Almost surely, 2210101202013 is an apocalyptic number.

It is an amenable number.

210101202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101202013 is an equidigital number, since it uses as much as digits as its factorization.

210101202013 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 13.

Adding to 210101202013 its reverse (310202101012), we get a palindrome (520303303025).

The spelling of 210101202013 in words is "two hundred ten billion, one hundred one million, two hundred two thousand, thirteen".