Search a number
-
+
1310313432413 is a prime number
BaseRepresentation
bin10011000100010100110…
…001000100010101011101
311122021010222220002210102
4103010110301010111131
5132432010214314123
62441541044150445
7163444534256426
oct23042461042535
94567128802712
101310313432413
11465778855657
12191b45398425
139673ca0667b
14475c31ba64d
152413e597028
hex13114c4455d

1310313432413 has 2 divisors, whose sum is σ = 1310313432414. Its totient is φ = 1310313432412.

The previous prime is 1310313432383. The next prime is 1310313432431. The reversal of 1310313432413 is 3142343130131.

Together with next prime (1310313432431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 757070529604 + 553242902809 = 870098^2 + 743803^2 .

It is an emirp because it is prime and its reverse (3142343130131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310313432413 - 26 = 1310313432349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310313432433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655156716206 + 655156716207.

It is an arithmetic number, because the mean of its divisors is an integer number (655156716207).

Almost surely, 21310313432413 is an apocalyptic number.

It is an amenable number.

1310313432413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310313432413 is an equidigital number, since it uses as much as digits as its factorization.

1310313432413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 1310313432413 its reverse (3142343130131), we get a palindrome (4452656562544).

The spelling of 1310313432413 in words is "one trillion, three hundred ten billion, three hundred thirteen million, four hundred thirty-two thousand, four hundred thirteen".