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331002211013 is a prime number
BaseRepresentation
bin1001101000100010100…
…01001110101011000101
31011122101010001112011122
410310101101032223011
520410343031223023
6412021010043325
732625354241235
oct4642121165305
91148333045148
10331002211013
111184171342a1
1254197b79545
13252a0a26376
1412040711cc5
1589242a42c8
hex4d1144eac5

331002211013 has 2 divisors, whose sum is σ = 331002211014. Its totient is φ = 331002211012.

The previous prime is 331002211003. The next prime is 331002211027. The reversal of 331002211013 is 310112200133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230983088449 + 100019122564 = 480607^2 + 316258^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002211013 - 222 = 330998016709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331002210982 and 331002211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331002211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501105506 + 165501105507.

It is an arithmetic number, because the mean of its divisors is an integer number (165501105507).

Almost surely, 2331002211013 is an apocalyptic number.

It is an amenable number.

331002211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002211013 is an equidigital number, since it uses as much as digits as its factorization.

331002211013 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 331002211013 its reverse (310112200133), we get a palindrome (641114411146).

The spelling of 331002211013 in words is "three hundred thirty-one billion, two million, two hundred eleven thousand, thirteen".