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2313131201 is a prime number
BaseRepresentation
bin1000100111011111…
…1001010011000001
312222012120020110222
42021313321103001
514214130144301
61021310232425
7111215201513
oct21167712301
95865506428
102313131201
11a8777a787
125467b5715
132ab2c1cb4
1417d2c9bb3
15d811731b
hex89df94c1

2313131201 has 2 divisors, whose sum is σ = 2313131202. Its totient is φ = 2313131200.

The previous prime is 2313131141. The next prime is 2313131203. The reversal of 2313131201 is 1021313132.

2313131201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1513599025 + 799532176 = 38905^2 + 28276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2313131201 is a prime.

Together with 2313131203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2313131201.

It is not a weakly prime, because it can be changed into another prime (2313131203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156565600 + 1156565601.

It is an arithmetic number, because the mean of its divisors is an integer number (1156565601).

Almost surely, 22313131201 is an apocalyptic number.

It is an amenable number.

2313131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313131201 is an equidigital number, since it uses as much as digits as its factorization.

2313131201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2313131201 is about 48095.0226218888. The cubic root of 2313131201 is about 1322.5134237485.

Adding to 2313131201 its reverse (1021313132), we get a palindrome (3334444333).

The spelling of 2313131201 in words is "two billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred one".