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1330012131313 is a prime number
BaseRepresentation
bin10011010110101010111…
…001101000111111110001
311201010222211110200122011
4103112222321220333301
5133242331101200223
62454555451442521
7165042640404445
oct23265271507761
94633884420564
101330012131313
114730671a16a8
12195922456441
139855bb49218
1448531470825
15248e3b4880d
hex135aae68ff1

1330012131313 has 2 divisors, whose sum is σ = 1330012131314. Its totient is φ = 1330012131312.

The previous prime is 1330012131299. The next prime is 1330012131379. The reversal of 1330012131313 is 3131312100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1203470432784 + 126541698529 = 1097028^2 + 355727^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330012131313 - 25 = 1330012131281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1330012135313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665006065656 + 665006065657.

It is an arithmetic number, because the mean of its divisors is an integer number (665006065657).

Almost surely, 21330012131313 is an apocalyptic number.

It is an amenable number.

1330012131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330012131313 is an equidigital number, since it uses as much as digits as its factorization.

1330012131313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1330012131313 its reverse (3131312100331), we get a palindrome (4461324231644).

The spelling of 1330012131313 in words is "one trillion, three hundred thirty billion, twelve million, one hundred thirty-one thousand, three hundred thirteen".