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2313131101 is a prime number
BaseRepresentation
bin1000100111011111…
…1001010001011101
312222012120020100021
42021313321101131
514214130143401
61021310232141
7111215201311
oct21167712135
95865506307
102313131101
11a8777a6a6
125467b5651
132ab2c1c38
1417d2c9b41
15d81172a1
hex89df945d

2313131101 has 2 divisors, whose sum is σ = 2313131102. Its totient is φ = 2313131100.

The previous prime is 2313131053. The next prime is 2313131113. The reversal of 2313131101 is 1011313132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2139155001 + 173976100 = 46251^2 + 13190^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313131101 - 211 = 2313129053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2313131141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156565550 + 1156565551.

It is an arithmetic number, because the mean of its divisors is an integer number (1156565551).

Almost surely, 22313131101 is an apocalyptic number.

It is an amenable number.

2313131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313131101 is an equidigital number, since it uses as much as digits as its factorization.

2313131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2313131101 is about 48095.0215822802. The cubic root of 2313131101 is about 1322.5134046904.

Adding to 2313131101 its reverse (1011313132), we get a palindrome (3324444233).

The spelling of 2313131101 in words is "two billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred one".