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12513240013 is a prime number
BaseRepresentation
bin10111010011101100…
…01110001111001101
31012022001212110021211
423221312032033031
5201111342140023
65425402054421
7622042533211
oct135166161715
935261773254
1012513240013
11534144147a
1225127aa411
1312455a4141
14869c5c941
154d3851a0d
hex2e9d8e3cd

12513240013 has 2 divisors, whose sum is σ = 12513240014. Its totient is φ = 12513240012.

The previous prime is 12513239987. The next prime is 12513240017. The reversal of 12513240013 is 31004231521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11509427524 + 1003812489 = 107282^2 + 31683^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12513240013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12513240017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256620006 + 6256620007.

It is an arithmetic number, because the mean of its divisors is an integer number (6256620007).

Almost surely, 212513240013 is an apocalyptic number.

It is an amenable number.

12513240013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12513240013 is an equidigital number, since it uses as much as digits as its factorization.

12513240013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12513240013 its reverse (31004231521), we get a palindrome (43517471534).

The spelling of 12513240013 in words is "twelve billion, five hundred thirteen million, two hundred forty thousand, thirteen".