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1011131133281 is a prime number
BaseRepresentation
bin11101011011011000001…
…11001010110101100001
310120122220110121120202122
432231230013022311201
5113031244032231111
62052301321154025
7133023525552443
oct16555407126541
93518813546678
101011131133281
1135a90018a0a5
12143b6992b915
1374470417739
1436d208d0493
151b47daa9cdb
hexeb6c1cad61

1011131133281 has 2 divisors, whose sum is σ = 1011131133282. Its totient is φ = 1011131133280.

The previous prime is 1011131133169. The next prime is 1011131133307. The reversal of 1011131133281 is 1823311311101.

It is an a-pointer prime, because the next prime (1011131133307) can be obtained adding 1011131133281 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 610421877025 + 400709256256 = 781295^2 + 633016^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011131133281 - 222 = 1011126938977 is a prime.

It is a super-2 number, since 2×10111311332812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011131133281.

It is not a weakly prime, because it can be changed into another prime (1011131133781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505565566640 + 505565566641.

It is an arithmetic number, because the mean of its divisors is an integer number (505565566641).

Almost surely, 21011131133281 is an apocalyptic number.

It is an amenable number.

1011131133281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011131133281 is an equidigital number, since it uses as much as digits as its factorization.

1011131133281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 1011131133281 its reverse (1823311311101), we get a palindrome (2834442444382).

The spelling of 1011131133281 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred eighty-one".