Search a number
-
+
13203551332513 is a prime number
BaseRepresentation
bin1100000000100011000011…
…1111001010100010100001
31201202020200012020121010201
43000020300333022202201
53212311333120120023
644025343332025201
72531632211362453
oct300106077124241
951666605217121
1013203551332513
11423065a569643
121592b2a762201
1374a121977979
143390aba282d3
1517d6c47a7bad
hexc0230fca8a1

13203551332513 has 2 divisors, whose sum is σ = 13203551332514. Its totient is φ = 13203551332512.

The previous prime is 13203551332453. The next prime is 13203551332571. The reversal of 13203551332513 is 31523315530231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9606732877729 + 3596818454784 = 3099473^2 + 1896528^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13203551332513 is a prime.

It is not a weakly prime, because it can be changed into another prime (13203551332813) 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, 6601775666256 + 6601775666257.

It is an arithmetic number, because the mean of its divisors is an integer number (6601775666257).

Almost surely, 213203551332513 is an apocalyptic number.

It is an amenable number.

13203551332513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13203551332513 is an equidigital number, since it uses as much as digits as its factorization.

13203551332513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 37.

Adding to 13203551332513 its reverse (31523315530231), we get a palindrome (44726866862744).

The spelling of 13203551332513 in words is "thirteen trillion, two hundred three billion, five hundred fifty-one million, three hundred thirty-two thousand, five hundred thirteen".