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2141131313 is a prime number
BaseRepresentation
bin111111110011111…
…0001001000110001
312112012220201222202
41333213301020301
513341112200223
6552243512545
7104026213226
oct17747611061
95465821882
102141131313
119a9681712
124b9088755
1328178c609
1416451594d
15c7e8e428
hex7f9f1231

2141131313 has 2 divisors, whose sum is σ = 2141131314. Its totient is φ = 2141131312.

The previous prime is 2141131273. The next prime is 2141131319. The reversal of 2141131313 is 3131311412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1478171809 + 662959504 = 38447^2 + 25748^2 .

It is a cyclic number.

It is not a de Polignac number, because 2141131313 - 226 = 2074022449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2141131319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070565656 + 1070565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1070565657).

Almost surely, 22141131313 is an apocalyptic number.

It is an amenable number.

2141131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2141131313 is an equidigital number, since it uses as much as digits as its factorization.

2141131313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 20.

The square root of 2141131313 is about 46272.3601408011. The cubic root of 2141131313 is about 1288.8857860874.

Adding to 2141131313 its reverse (3131311412), we get a palindrome (5272442725).

The spelling of 2141131313 in words is "two billion, one hundred forty-one million, one hundred thirty-one thousand, three hundred thirteen".