Search a number
-
+
1310012001317 is a prime number
BaseRepresentation
bin10011000100000010110…
…011001100110000100101
311122020100222200211001202
4103010002303030300211
5132430401033020232
62441451115332245
7163434214166525
oct23040263146045
94566328624052
101310012001317
11465633693a48
12191a80451085
13966c2427386
1447595153685
1524122da4162
hex13102cccc25

1310012001317 has 2 divisors, whose sum is σ = 1310012001318. Its totient is φ = 1310012001316.

The previous prime is 1310012001301. The next prime is 1310012001341. The reversal of 1310012001317 is 7131002100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1194388880161 + 115623121156 = 1092881^2 + 340034^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310012001317 - 24 = 1310012001301 is a prime.

It is a super-2 number, since 2×13100120013172 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310012001817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655006000658 + 655006000659.

It is an arithmetic number, because the mean of its divisors is an integer number (655006000659).

Almost surely, 21310012001317 is an apocalyptic number.

It is an amenable number.

1310012001317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310012001317 is an equidigital number, since it uses as much as digits as its factorization.

1310012001317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 1310012001317 its reverse (7131002100131), we get a palindrome (8441014101448).

The spelling of 1310012001317 in words is "one trillion, three hundred ten billion, twelve million, one thousand, three hundred seventeen".