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311313311131 is a prime number
BaseRepresentation
bin1001000011110111011…
…10000010010110011011
31002202112221220210001111
410201323232002112123
520100032201424011
6355003152401151
731330430324614
oct4417356022633
91082487823044
10311313311131
11110033280409
12504022461b7
1323483934a54
14110d388cc0b
1581709db121
hex487bb8259b

311313311131 has 2 divisors, whose sum is σ = 311313311132. Its totient is φ = 311313311130.

The previous prime is 311313311117. The next prime is 311313311159. The reversal of 311313311131 is 131113313113.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 311313311131 - 233 = 302723376539 is a prime.

It is a super-2 number, since 2×3113133111312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311313311171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155656655565 + 155656655566.

It is an arithmetic number, because the mean of its divisors is an integer number (155656655566).

Almost surely, 2311313311131 is an apocalyptic number.

311313311131 is a deficient number, since it is larger than the sum of its proper divisors (1).

311313311131 is an equidigital number, since it uses as much as digits as its factorization.

311313311131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 243, while the sum is 22.

Adding to 311313311131 its reverse (131113313113), we get a palindrome (442426624244).

The spelling of 311313311131 in words is "three hundred eleven billion, three hundred thirteen million, three hundred eleven thousand, one hundred thirty-one".