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13020101093 is a prime number
BaseRepresentation
bin11000010000000111…
…01111100111100101
31020121101121122222102
430020003233213211
5203131121213333
65551545541445
7640436014256
oct141003574745
936541548872
1013020101093
11558156472a
1226344a4885
1312c65bc13c
148b72bcb2d
155130c2ae8
hex3080ef9e5

13020101093 has 2 divisors, whose sum is σ = 13020101094. Its totient is φ = 13020101092.

The previous prime is 13020101023. The next prime is 13020101099. The reversal of 13020101093 is 39010102031.

13020101093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11792439649 + 1227661444 = 108593^2 + 35038^2 .

It is a cyclic number.

It is not a de Polignac number, because 13020101093 - 214 = 13020084709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13020101099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510050546 + 6510050547.

It is an arithmetic number, because the mean of its divisors is an integer number (6510050547).

Almost surely, 213020101093 is an apocalyptic number.

It is an amenable number.

13020101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13020101093 is an equidigital number, since it uses as much as digits as its factorization.

13020101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 13020101093 in words is "thirteen billion, twenty million, one hundred one thousand, ninety-three".