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113303331133 is a prime number
BaseRepresentation
bin110100110000101100…
…1111010000100111101
3101211110022012120210121
41221201121322010331
53324021123044013
6124014551334541
711120522265316
oct1514131720475
9354408176717
10113303331133
114406285a743
1219b61081451
13a8b89a7505
1456abbc960d
152e3210758d
hex1a6167a13d

113303331133 has 2 divisors, whose sum is σ = 113303331134. Its totient is φ = 113303331132.

The previous prime is 113303331091. The next prime is 113303331139. The reversal of 113303331133 is 331133303311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103631198724 + 9672132409 = 321918^2 + 98347^2 .

It is an emirp because it is prime and its reverse (331133303311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113303331133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113303331098 and 113303331107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113303331139) 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, 56651665566 + 56651665567.

It is an arithmetic number, because the mean of its divisors is an integer number (56651665567).

Almost surely, 2113303331133 is an apocalyptic number.

It is an amenable number.

113303331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

113303331133 is an equidigital number, since it uses as much as digits as its factorization.

113303331133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 113303331133 its reverse (331133303311), we get a palindrome (444436634444).

The spelling of 113303331133 in words is "one hundred thirteen billion, three hundred three million, three hundred thirty-one thousand, one hundred thirty-three".