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313123222133 is a prime number
BaseRepresentation
bin1001000111001111001…
…10010011001001110101
31002221020002120210012022
410203213212103021311
520112234021102013
6355502525202525
731423325321231
oct4434746231165
91087202523168
10313123222133
11110881994327
1250828400445
13236b18b4cc7
1411225dc55c1
158229851008
hex48e7993275

313123222133 has 2 divisors, whose sum is σ = 313123222134. Its totient is φ = 313123222132.

The previous prime is 313123222121. The next prime is 313123222171. The reversal of 313123222133 is 331222321313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288215438449 + 24907783684 = 536857^2 + 157822^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123222133 - 220 = 313122173557 is a prime.

It is a super-2 number, since 2×3131232221332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310123222133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561611066 + 156561611067.

It is an arithmetic number, because the mean of its divisors is an integer number (156561611067).

Almost surely, 2313123222133 is an apocalyptic number.

It is an amenable number.

313123222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123222133 is an equidigital number, since it uses as much as digits as its factorization.

313123222133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 26.

Adding to 313123222133 its reverse (331222321313), we get a palindrome (644345543446).

The spelling of 313123222133 in words is "three hundred thirteen billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".