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10131310213 is a prime number
BaseRepresentation
bin10010110111101111…
…11000011010000101
3222011001211212212121
421123313320122011
5131222103411323
64353153045541
7506030500363
oct113367703205
928131755777
1010131310213
114329951352
121b68b568b1
13c55c7441b
146c1784633
153e4699a5d
hex25bdf8685

10131310213 has 2 divisors, whose sum is σ = 10131310214. Its totient is φ = 10131310212.

The previous prime is 10131310199. The next prime is 10131310223. The reversal of 10131310213 is 31201313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6254753569 + 3876556644 = 79087^2 + 62262^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131310213 - 225 = 10097755781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131310223) 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, 5065655106 + 5065655107.

It is an arithmetic number, because the mean of its divisors is an integer number (5065655107).

Almost surely, 210131310213 is an apocalyptic number.

It is an amenable number.

10131310213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131310213 is an equidigital number, since it uses as much as digits as its factorization.

10131310213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10131310213 its reverse (31201313101), we get a palindrome (41332623314).

The spelling of 10131310213 in words is "ten billion, one hundred thirty-one million, three hundred ten thousand, two hundred thirteen".