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1310333117 is a prime number
BaseRepresentation
bin100111000011010…
…0001100010111101
310101022121211010012
41032012201202331
510140421124432
6334004553005
744320435112
oct11606414275
93338554105
101310333117
11612715735
123069b2765
1317b615352
14c6050909
157a081cb2
hex4e1a18bd

1310333117 has 2 divisors, whose sum is σ = 1310333118. Its totient is φ = 1310333116.

The previous prime is 1310333107. The next prime is 1310333149. The reversal of 1310333117 is 7113330131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1231939801 + 78393316 = 35099^2 + 8854^2 .

It is an emirp because it is prime and its reverse (7113330131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310333117 - 218 = 1310070973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310333092 and 1310333101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310333107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655166558 + 655166559.

It is an arithmetic number, because the mean of its divisors is an integer number (655166559).

Almost surely, 21310333117 is an apocalyptic number.

It is an amenable number.

1310333117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310333117 is an equidigital number, since it uses as much as digits as its factorization.

1310333117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 1310333117 is about 36198.5236853660. The cubic root of 1310333117 is about 1094.2769193943.

Adding to 1310333117 its reverse (7113330131), we get a palindrome (8423663248).

The spelling of 1310333117 in words is "one billion, three hundred ten million, three hundred thirty-three thousand, one hundred seventeen".