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13131200213 is a prime number
BaseRepresentation
bin11000011101010111…
…00011011011010101
31020220010200002022122
430032223203123111
5203343041401323
610010555105325
7643255234355
oct141653433325
936803602278
1013131200213
11562924708a
122665742245
13131361a871
148c7d5cb65
1551cc1aec8
hex30eae36d5

13131200213 has 2 divisors, whose sum is σ = 13131200214. Its totient is φ = 13131200212.

The previous prime is 13131200209. The next prime is 13131200237. The reversal of 13131200213 is 31200213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9871018609 + 3260181604 = 99353^2 + 57098^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131200213 - 22 = 13131200209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131200191 and 13131200200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131200263) 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, 6565600106 + 6565600107.

It is an arithmetic number, because the mean of its divisors is an integer number (6565600107).

Almost surely, 213131200213 is an apocalyptic number.

It is an amenable number.

13131200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131200213 is an equidigital number, since it uses as much as digits as its factorization.

13131200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13131200213 its reverse (31200213131), we get a palindrome (44331413344).

The spelling of 13131200213 in words is "thirteen billion, one hundred thirty-one million, two hundred thousand, two hundred thirteen".