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10121313331 is a prime number
BaseRepresentation
bin10010110110100011…
…01111110000110011
3222010101000222201201
421123101233300303
5131212024011311
64352154512031
7505546513063
oct113321576063
928111028651
1010121313331
114324243568
121b65735617
13c53b840cc
146c03013a3
153e38729c1
hex25b46fc33

10121313331 has 2 divisors, whose sum is σ = 10121313332. Its totient is φ = 10121313330.

The previous prime is 10121313317. The next prime is 10121313337. The reversal of 10121313331 is 13331312101.

It is a strong prime.

It is an emirp because it is prime and its reverse (13331312101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121313331 - 25 = 10121313299 is a prime.

It is a super-2 number, since 2×101213133312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121313299 and 10121313308.

It is not a weakly prime, because it can be changed into another prime (10121313337) 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, 5060656665 + 5060656666.

It is an arithmetic number, because the mean of its divisors is an integer number (5060656666).

Almost surely, 210121313331 is an apocalyptic number.

10121313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121313331 is an equidigital number, since it uses as much as digits as its factorization.

10121313331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10121313331 its reverse (13331312101), we get a palindrome (23452625432).

The spelling of 10121313331 in words is "ten billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".