Search a number
-
+
1331403202313 is a prime number
BaseRepresentation
bin10011010111111101110…
…100001001111100001001
311201021120210000102022022
4103113331310021330021
5133303203204433223
62455345503134225
7165122261331152
oct23277564117411
94637523012268
101331403202313
11473710441958
121960502a4375
13987210bc762
14486240da929
1524975d27ac8
hex135fdd09f09

1331403202313 has 2 divisors, whose sum is σ = 1331403202314. Its totient is φ = 1331403202312.

The previous prime is 1331403202253. The next prime is 1331403202333. The reversal of 1331403202313 is 3132023041331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1324149614089 + 7253588224 = 1150717^2 + 85168^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331403202313 - 26 = 1331403202249 is a prime.

It is a super-2 number, since 2×13314032023132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1331403202333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665701601156 + 665701601157.

It is an arithmetic number, because the mean of its divisors is an integer number (665701601157).

Almost surely, 21331403202313 is an apocalyptic number.

It is an amenable number.

1331403202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331403202313 is an equidigital number, since it uses as much as digits as its factorization.

1331403202313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1331403202313 its reverse (3132023041331), we get a palindrome (4463426243644).

The spelling of 1331403202313 in words is "one trillion, three hundred thirty-one billion, four hundred three million, two hundred two thousand, three hundred thirteen".