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3131123213 is a prime number
BaseRepresentation
bin1011101010100001…
…0010011000001101
322002012202112120102
42322220102120031
522403031420323
61234410500445
7140410052051
oct27250223015
98065675512
103131123213
11136748a239
12734734725
133ab90433a
14219bb9c61
15134d45328
hexbaa1260d

3131123213 has 2 divisors, whose sum is σ = 3131123214. Its totient is φ = 3131123212.

The previous prime is 3131123207. The next prime is 3131123231. The reversal of 3131123213 is 3123211313.

Together with next prime (3131123231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2306112484 + 825010729 = 48022^2 + 28723^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131123213 - 28 = 3131122957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131123273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565561606 + 1565561607.

It is an arithmetic number, because the mean of its divisors is an integer number (1565561607).

Almost surely, 23131123213 is an apocalyptic number.

It is an amenable number.

3131123213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131123213 is an equidigital number, since it uses as much as digits as its factorization.

3131123213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 20.

The square root of 3131123213 is about 55956.4403174469. The cubic root of 3131123213 is about 1462.9631465476.

Adding to 3131123213 its reverse (3123211313), we get a palindrome (6254334526).

The spelling of 3131123213 in words is "three billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred thirteen".