Search a number
-
+
101313220133 is a prime number
BaseRepresentation
bin101111001011010111…
…1010000111000100101
3100200111200200211121102
41132112233100320211
53124442141021013
6114313113525445
710214431106426
oct1362657207045
9320450624542
10101313220133
1139a6a7428a4
1217775713885
1397278c5b88
144c9162364d
15297e68bd58
hex1796bd0e25

101313220133 has 2 divisors, whose sum is σ = 101313220134. Its totient is φ = 101313220132.

The previous prime is 101313220087. The next prime is 101313220147. The reversal of 101313220133 is 331022313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63714846724 + 37598373409 = 252418^2 + 193903^2 .

It is a cyclic number.

It is not a de Polignac number, because 101313220133 - 230 = 100239478309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313220153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656610066 + 50656610067.

It is an arithmetic number, because the mean of its divisors is an integer number (50656610067).

Almost surely, 2101313220133 is an apocalyptic number.

It is an amenable number.

101313220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313220133 is an equidigital number, since it uses as much as digits as its factorization.

101313220133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101313220133 its reverse (331022313101), we get a palindrome (432335533234).

The spelling of 101313220133 in words is "one hundred one billion, three hundred thirteen million, two hundred twenty thousand, one hundred thirty-three".