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2301022131013 is a prime number
BaseRepresentation
bin100001011110111111100…
…110110101001101000101
322010222100012002111212101
4201132333212311031011
5300144443131143023
64521024105552101
7325146321254254
oct41367746651505
98128305074771
102301022131013
11807949007261
12311b537a5631
13138ca707b518
147d52766079b
153ecc52901ad
hex217bf9b5345

2301022131013 has 2 divisors, whose sum is σ = 2301022131014. Its totient is φ = 2301022131012.

The previous prime is 2301022130989. The next prime is 2301022131029. The reversal of 2301022131013 is 3101312201032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2178274906404 + 122747224609 = 1475898^2 + 350353^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301022131013 is a prime.

It is a super-3 number, since 3×23010221310133 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301022131113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150511065506 + 1150511065507.

It is an arithmetic number, because the mean of its divisors is an integer number (1150511065507).

Almost surely, 22301022131013 is an apocalyptic number.

It is an amenable number.

2301022131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301022131013 is an equidigital number, since it uses as much as digits as its factorization.

2301022131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2301022131013 its reverse (3101312201032), we get a palindrome (5402334332045).

The spelling of 2301022131013 in words is "two trillion, three hundred one billion, twenty-two million, one hundred thirty-one thousand, thirteen".