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10013013331 is a prime number
BaseRepresentation
bin10010101001101001…
…00111010101010011
3221211211020210001121
421110310213111103
5131001312411311
64333325343111
7503063131456
oct112464472523
927754223047
1010013013331
1142790a3132
121b35407a97
13c375c5779
146adb8d49d
153d90cdb71
hex254d27553

10013013331 has 2 divisors, whose sum is σ = 10013013332. Its totient is φ = 10013013330.

The previous prime is 10013013323. The next prime is 10013013359. The reversal of 10013013331 is 13331031001.

10013013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10013013331 - 23 = 10013013323 is a prime.

It is a super-2 number, since 2×100130133312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013013431) 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, 5006506665 + 5006506666.

It is an arithmetic number, because the mean of its divisors is an integer number (5006506666).

Almost surely, 210013013331 is an apocalyptic number.

10013013331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013013331 is an equidigital number, since it uses as much as digits as its factorization.

10013013331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10013013331 its reverse (13331031001), we get a palindrome (23344044332).

The spelling of 10013013331 in words is "ten billion, thirteen million, thirteen thousand, three hundred thirty-one".