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312303131113 is a prime number
BaseRepresentation
bin1001000101101101011…
…01111001100111101001
31002212002221102211210211
410202312231321213221
520104044100143423
6355245311541121
731364106546301
oct4426655714751
91085087384724
10312303131113
111104a0a80856
125063982a7a1
13235b0a1944c
141118910a601
1581cc85b10d
hex48b6b799e9

312303131113 has 2 divisors, whose sum is σ = 312303131114. Its totient is φ = 312303131112.

The previous prime is 312303131111. The next prime is 312303131159. The reversal of 312303131113 is 311131303213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206832124944 + 105471006169 = 454788^2 + 324763^2 .

It is an emirp because it is prime and its reverse (311131303213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312303131113 - 21 = 312303131111 is a prime.

Together with 312303131111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312303131111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156151565556 + 156151565557.

It is an arithmetic number, because the mean of its divisors is an integer number (156151565557).

Almost surely, 2312303131113 is an apocalyptic number.

It is an amenable number.

312303131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312303131113 is an equidigital number, since it uses as much as digits as its factorization.

312303131113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 312303131113 its reverse (311131303213), we get a palindrome (623434434326).

The spelling of 312303131113 in words is "three hundred twelve billion, three hundred three million, one hundred thirty-one thousand, one hundred thirteen".