Search a number
-
+
33132010013 is a prime number
BaseRepresentation
bin11110110110110100…
…100101101000011101
310011112000201111101222
4132312310211220131
51020323243310023
623115353543125
72252020303244
oct366664455035
9104460644358
1033132010013
1113062179563
126507a14aa5
133180219c6b
1418643b595b
15cdda96cc8
hex7b6d25a1d

33132010013 has 2 divisors, whose sum is σ = 33132010014. Its totient is φ = 33132010012.

The previous prime is 33132009997. The next prime is 33132010033. The reversal of 33132010013 is 31001023133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22732497529 + 10399512484 = 150773^2 + 101978^2 .

It is a cyclic number.

It is not a de Polignac number, because 33132010013 - 24 = 33132009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33132009973 and 33132010000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33132010033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16566005006 + 16566005007.

It is an arithmetic number, because the mean of its divisors is an integer number (16566005007).

Almost surely, 233132010013 is an apocalyptic number.

It is an amenable number.

33132010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33132010013 is an equidigital number, since it uses as much as digits as its factorization.

33132010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33132010013 its reverse (31001023133), we get a palindrome (64133033146).

The spelling of 33132010013 in words is "thirty-three billion, one hundred thirty-two million, ten thousand, thirteen".