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113313011137 is a prime number
BaseRepresentation
bin110100110000111111…
…0110101010111000001
3101211110222102101021021
41221201332311113001
53324031112324022
6124015535025441
711121000463024
oct1514176652701
9354428371237
10113313011137
1144068271447
1219b6436b281
13a8ba9b6521
1456ad1c91bb
152e32dba7c7
hex1a61fb55c1

113313011137 has 2 divisors, whose sum is σ = 113313011138. Its totient is φ = 113313011136.

The previous prime is 113313011107. The next prime is 113313011153. The reversal of 113313011137 is 731110313311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104797228176 + 8515782961 = 323724^2 + 92281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113313011137 is a prime.

It is not a weakly prime, because it can be changed into another prime (113313011107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656505568 + 56656505569.

It is an arithmetic number, because the mean of its divisors is an integer number (56656505569).

Almost surely, 2113313011137 is an apocalyptic number.

It is an amenable number.

113313011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313011137 is an equidigital number, since it uses as much as digits as its factorization.

113313011137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 25.

Adding to 113313011137 its reverse (731110313311), we get a palindrome (844423324448).

The spelling of 113313011137 in words is "one hundred thirteen billion, three hundred thirteen million, eleven thousand, one hundred thirty-seven".