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13032401413 is a prime number
BaseRepresentation
bin11000010001100101…
…01010101000000101
31020122020202120211211
430020302222220011
5203142243321123
65553105331421
7640645404253
oct141062525005
936566676754
1013032401413
1155884a6089
122638636b71
1312c9007a35
148b8ba15d3
1551420240d
hex308caaa05

13032401413 has 2 divisors, whose sum is σ = 13032401414. Its totient is φ = 13032401412.

The previous prime is 13032401363. The next prime is 13032401461. The reversal of 13032401413 is 31410423031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9666429124 + 3365972289 = 98318^2 + 58017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13032401413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13032401513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516200706 + 6516200707.

It is an arithmetic number, because the mean of its divisors is an integer number (6516200707).

Almost surely, 213032401413 is an apocalyptic number.

It is an amenable number.

13032401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032401413 is an equidigital number, since it uses as much as digits as its factorization.

13032401413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13032401413 its reverse (31410423031), we get a palindrome (44442824444).

The spelling of 13032401413 in words is "thirteen billion, thirty-two million, four hundred one thousand, four hundred thirteen".