Search a number
-
+
13032022013 is a prime number
BaseRepresentation
bin11000010001100010…
…01101111111111101
31020122020001022101222
430020301031333331
5203142144201023
65553053243125
7640642234163
oct141061157775
936566038358
1013032022013
11558826702a
1226384934a5
1312c8c0413a
148b8b03233
15514179cc8
hex308c4dffd

13032022013 has 2 divisors, whose sum is σ = 13032022014. Its totient is φ = 13032022012.

The previous prime is 13032021991. The next prime is 13032022037. The reversal of 13032022013 is 31022023031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12664801444 + 367220569 = 112538^2 + 19163^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032022013 - 28 = 13032021757 is a prime.

It is a super-3 number, since 3×130320220133 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13032021982 and 13032022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13032027013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516011006 + 6516011007.

It is an arithmetic number, because the mean of its divisors is an integer number (6516011007).

Almost surely, 213032022013 is an apocalyptic number.

It is an amenable number.

13032022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032022013 is an equidigital number, since it uses as much as digits as its factorization.

13032022013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13032022013 its reverse (31022023031), we get a palindrome (44054045044).

The spelling of 13032022013 in words is "thirteen billion, thirty-two million, twenty-two thousand, thirteen".