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1001022201013 is a prime number
BaseRepresentation
bin11101001000100011001…
…00101001110010110101
310112200210221212121122211
432210101210221302311
5112400043140413023
62043510243453421
7132215156213632
oct16442144516265
93480727777584
101001022201013
11356592a3271a
12142008387271
137351bca9c03
14366420d3189
151b08b380a0d
hexe911929cb5

1001022201013 has 2 divisors, whose sum is σ = 1001022201014. Its totient is φ = 1001022201012.

The previous prime is 1001022200987. The next prime is 1001022201059. The reversal of 1001022201013 is 3101022201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 710982867204 + 290039333809 = 843198^2 + 538553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001022201013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001022200984 and 1001022201002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001025201013) 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, 500511100506 + 500511100507.

It is an arithmetic number, because the mean of its divisors is an integer number (500511100507).

Almost surely, 21001022201013 is an apocalyptic number.

It is an amenable number.

1001022201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001022201013 is an equidigital number, since it uses as much as digits as its factorization.

1001022201013 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 1001022201013 its reverse (3101022201001), we get a palindrome (4102044402014).

The spelling of 1001022201013 in words is "one trillion, one billion, twenty-two million, two hundred one thousand, thirteen".