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10003133213 is a prime number
BaseRepresentation
bin10010101000011101…
…11011001100011101
3221211010122211002022
421110032323030131
5130441300230323
64332333505525
7502613141453
oct112416731435
927733584068
1010003133213
114273565047
121b320422a5
13c35546648
146ac73a9d3
153d82cb4c8
hex2543bb31d

10003133213 has 2 divisors, whose sum is σ = 10003133214. Its totient is φ = 10003133212.

The previous prime is 10003133209. The next prime is 10003133221. The reversal of 10003133213 is 31233130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9390966649 + 612166564 = 96907^2 + 24742^2 .

It is an emirp because it is prime and its reverse (31233130001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10003133213 - 22 = 10003133209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003133191 and 10003133200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003133233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001566606 + 5001566607.

It is an arithmetic number, because the mean of its divisors is an integer number (5001566607).

Almost surely, 210003133213 is an apocalyptic number.

It is an amenable number.

10003133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003133213 is an equidigital number, since it uses as much as digits as its factorization.

10003133213 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 10003133213 its reverse (31233130001), we get a palindrome (41236263214).

The spelling of 10003133213 in words is "ten billion, three million, one hundred thirty-three thousand, two hundred thirteen".