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12313113300133 is a prime number
BaseRepresentation
bin1011001100101101111010…
…1111101000110010100101
31121121010022000222210120021
42303023132233220302211
53103214224001101013
642104322142435141
72410410266110522
oct263133657506245
947533260883507
1012313113300133
113a17a64501628
12146a444892ab1
136b417720c689
14307d5a540149
1516545b961a8d
hexb32debe8ca5

12313113300133 has 2 divisors, whose sum is σ = 12313113300134. Its totient is φ = 12313113300132.

The previous prime is 12313113300121. The next prime is 12313113300259. The reversal of 12313113300133 is 33100331131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11761833779809 + 551279520324 = 3429553^2 + 742482^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313113300133 - 241 = 10114090044581 is a prime.

It is a super-2 number, since 2×123131133001332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313113300098 and 12313113300107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313113303133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156556650066 + 6156556650067.

It is an arithmetic number, because the mean of its divisors is an integer number (6156556650067).

Almost surely, 212313113300133 is an apocalyptic number.

It is an amenable number.

12313113300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313113300133 is an equidigital number, since it uses as much as digits as its factorization.

12313113300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 12313113300133 its reverse (33100331131321), we get a palindrome (45413444431454).

The spelling of 12313113300133 in words is "twelve trillion, three hundred thirteen billion, one hundred thirteen million, three hundred thousand, one hundred thirty-three".