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1312110013 is a prime number
BaseRepresentation
bin100111000110101…
…0011010110111101
310101102222002120011
41032031103112331
510141400010023
6334111023221
744341515424
oct11615232675
93342862504
101312110013
11613719745
1230750ab11
1317bab8076
14c63942bb
157a2d350d
hex4e3535bd

1312110013 has 2 divisors, whose sum is σ = 1312110014. Its totient is φ = 1312110012.

The previous prime is 1312109993. The next prime is 1312110043. The reversal of 1312110013 is 3100112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1312033284 + 76729 = 36222^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312110013 - 29 = 1312109501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312109975 and 1312110002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312110043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656055006 + 656055007.

It is an arithmetic number, because the mean of its divisors is an integer number (656055007).

Almost surely, 21312110013 is an apocalyptic number.

It is an amenable number.

1312110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312110013 is an equidigital number, since it uses as much as digits as its factorization.

1312110013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1312110013 is about 36223.0591336513. The cubic root of 1312110013 is about 1094.7713326087.

Adding to 1312110013 its reverse (3100112131), we get a palindrome (4412222144).

The spelling of 1312110013 in words is "one billion, three hundred twelve million, one hundred ten thousand, thirteen".