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12313011133001 is a prime number
BaseRepresentation
bin1011001100101101100010…
…1001111001101001001001
31121121010000220202011121102
42303023120221321221021
53103214021322224001
642104304052551145
72410404615521255
oct263133051715111
947533026664542
1012313011133001
113a17a1186a987
12146a4166224b5
136b415bcba657
14307d4ab47265
151654529cee6b
hexb32d8a79a49

12313011133001 has 2 divisors, whose sum is σ = 12313011133002. Its totient is φ = 12313011133000.

The previous prime is 12313011132977. The next prime is 12313011133037. The reversal of 12313011133001 is 10033111031321.

12313011133001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8501539747600 + 3811471385401 = 2915740^2 + 1952299^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313011133001 - 214 = 12313011116617 is a prime.

It is a super-2 number, since 2×123130111330012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313011133081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156505566500 + 6156505566501.

It is an arithmetic number, because the mean of its divisors is an integer number (6156505566501).

Almost surely, 212313011133001 is an apocalyptic number.

It is an amenable number.

12313011133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313011133001 is an equidigital number, since it uses as much as digits as its factorization.

12313011133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 12313011133001 its reverse (10033111031321), we get a palindrome (22346122164322).

The spelling of 12313011133001 in words is "twelve trillion, three hundred thirteen billion, eleven million, one hundred thirty-three thousand, one".