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31313313113 is a prime number
BaseRepresentation
bin11101001010011010…
…110011110101011001
32222211021112010021112
4131022122303311121
51003112202004423
622215104550105
72155654525025
oct351232636531
988737463245
1031313313113
1112309604675
12609a922335
132c504b1954
141730a33385
15c34098a78
hex74a6b3d59

31313313113 has 2 divisors, whose sum is σ = 31313313114. Its totient is φ = 31313313112.

The previous prime is 31313313107. The next prime is 31313313127. The reversal of 31313313113 is 31131331313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28741099024 + 2572214089 = 169532^2 + 50717^2 .

It is an emirp because it is prime and its reverse (31131331313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31313313113 - 26 = 31313313049 is a prime.

It is a super-2 number, since 2×313133131132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31313313133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656656556 + 15656656557.

It is an arithmetic number, because the mean of its divisors is an integer number (15656656557).

Almost surely, 231313313113 is an apocalyptic number.

It is an amenable number.

31313313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313313113 is an equidigital number, since it uses as much as digits as its factorization.

31313313113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 729, while the sum is 23.

Adding to 31313313113 its reverse (31131331313), we get a palindrome (62444644426).

The spelling of 31313313113 in words is "thirty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred thirteen".