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313031313193 is a prime number
BaseRepresentation
bin1001000111000100001…
…11101100011100101001
31002220222200122022211111
410203202013230130221
520112042004010233
6355445443230321
731421131155154
oct4434207543451
91086880568744
10313031313193
11110835019825
12508016783a1
1323698845211
1411217adcc9b
158221748acd
hex48e21ec729

313031313193 has 2 divisors, whose sum is σ = 313031313194. Its totient is φ = 313031313192.

The previous prime is 313031313191. The next prime is 313031313227. The reversal of 313031313193 is 391313130313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313031298064 + 15129 = 559492^2 + 123^2 .

It is a cyclic number.

It is not a de Polignac number, because 313031313193 - 21 = 313031313191 is a prime.

Together with 313031313191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313031313191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156515656596 + 156515656597.

It is an arithmetic number, because the mean of its divisors is an integer number (156515656597).

Almost surely, 2313031313193 is an apocalyptic number.

It is an amenable number.

313031313193 is a deficient number, since it is larger than the sum of its proper divisors (1).

313031313193 is an equidigital number, since it uses as much as digits as its factorization.

313031313193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 31.

The spelling of 313031313193 in words is "three hundred thirteen billion, thirty-one million, three hundred thirteen thousand, one hundred ninety-three".