Search a number
-
+
13032011203313 is a prime number
BaseRepresentation
bin1011110110100100000001…
…1001100000001011110001
31201010211220021020010221012
42331221000121200023301
53202004024332001223
643414453455440305
72513350246342634
oct275510031401361
951124807203835
1013032011203313
114174932642623
121565836226095
13736bb491b03b
14330a77603c1b
15178ed4b37c78
hexbda406602f1

13032011203313 has 2 divisors, whose sum is σ = 13032011203314. Its totient is φ = 13032011203312.

The previous prime is 13032011203307. The next prime is 13032011203417. The reversal of 13032011203313 is 31330211023031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9275965648609 + 3756045554704 = 3045647^2 + 1938052^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032011203313 - 212 = 13032011199217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13032011203213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516005601656 + 6516005601657.

It is an arithmetic number, because the mean of its divisors is an integer number (6516005601657).

Almost surely, 213032011203313 is an apocalyptic number.

It is an amenable number.

13032011203313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032011203313 is an equidigital number, since it uses as much as digits as its factorization.

13032011203313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13032011203313 its reverse (31330211023031), we get a palindrome (44362222226344).

The spelling of 13032011203313 in words is "thirteen trillion, thirty-two billion, eleven million, two hundred three thousand, three hundred thirteen".