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20131102303133 is a prime number
BaseRepresentation
bin1001001001111001000110…
…01100111010001110011101
32122021111220010120112220112
410210330203030322032131
510114311444142200013
6110452033431255405
74145265324143663
oct444744314721635
978244803515815
1020131102303133
116461609484898
12231166151a565
13b3047c664633
144d84c9ca4c33
1524d9c9887ba8
hex124f2333a39d

20131102303133 has 2 divisors, whose sum is σ = 20131102303134. Its totient is φ = 20131102303132.

The previous prime is 20131102303111. The next prime is 20131102303139. The reversal of 20131102303133 is 33130320113102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19870893151684 + 260209151449 = 4457678^2 + 510107^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131102303133 - 26 = 20131102303069 is a prime.

It is a super-2 number, since 2×201311023031332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20131102303099 and 20131102303108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131102303139) 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, 10065551151566 + 10065551151567.

It is an arithmetic number, because the mean of its divisors is an integer number (10065551151567).

Almost surely, 220131102303133 is an apocalyptic number.

It is an amenable number.

20131102303133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131102303133 is an equidigital number, since it uses as much as digits as its factorization.

20131102303133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20131102303133 its reverse (33130320113102), we get a palindrome (53261422416235).

The spelling of 20131102303133 in words is "twenty trillion, one hundred thirty-one billion, one hundred two million, three hundred three thousand, one hundred thirty-three".