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1011011110133 is a prime number
BaseRepresentation
bin11101011011001001111…
…01010100010011110101
310120122121002202202221212
432231210331110103311
5113031022321011013
62052241352451205
7133020540433643
oct16554475242365
93518532682855
101011011110133
1135a849461a12
12143b356a9b05
13744515b311b
1436d0c9aa193
151b47329c6a8
hexeb64f544f5

1011011110133 has 2 divisors, whose sum is σ = 1011011110134. Its totient is φ = 1011011110132.

The previous prime is 1011011110111. The next prime is 1011011110157. The reversal of 1011011110133 is 3310111101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 776235005764 + 234776104369 = 881042^2 + 484537^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011011110133 - 28 = 1011011109877 is a prime.

It is a super-2 number, since 2×10110111101332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011011110183) 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, 505505555066 + 505505555067.

It is an arithmetic number, because the mean of its divisors is an integer number (505505555067).

Almost surely, 21011011110133 is an apocalyptic number.

It is an amenable number.

1011011110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011110133 is an equidigital number, since it uses as much as digits as its factorization.

1011011110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1011011110133 its reverse (3310111101101), we get a palindrome (4321122211234).

The spelling of 1011011110133 in words is "one trillion, eleven billion, eleven million, one hundred ten thousand, one hundred thirty-three".