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2313131113 is a prime number
BaseRepresentation
bin1000100111011111…
…1001010001101001
312222012120020100201
42021313321101221
514214130143423
61021310232201
7111215201326
oct21167712151
95865506321
102313131113
11a8777a707
125467b5661
132ab2c1c47
1417d2c9b4d
15d81172ad
hex89df9469

2313131113 has 2 divisors, whose sum is σ = 2313131114. Its totient is φ = 2313131112.

The previous prime is 2313131101. The next prime is 2313131141. The reversal of 2313131113 is 3111313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1463292009 + 849839104 = 38253^2 + 29152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313131113 - 225 = 2279576681 is a prime.

It is a super-3 number, since 3×23131311133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2313131213) 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, 1156565556 + 1156565557.

It is an arithmetic number, because the mean of its divisors is an integer number (1156565557).

Almost surely, 22313131113 is an apocalyptic number.

It is an amenable number.

2313131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313131113 is an equidigital number, since it uses as much as digits as its factorization.

2313131113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2313131113 is about 48095.0217070333. The cubic root of 2313131113 is about 1322.5134069774.

Adding to 2313131113 its reverse (3111313132), we get a palindrome (5424444245).

The spelling of 2313131113 in words is "two billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred thirteen".