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13331131001 is a prime number
BaseRepresentation
bin11000110101001100…
…01110101001111001
31021102001212121210122
430122212032221321
5204300232143001
610042500223025
7651233513066
oct143246165171
937361777718
1013331131001
115721092041
12270069aa75
131345b7c4c6
14906723c6d
1553055eb1b
hex31a98ea79

13331131001 has 2 divisors, whose sum is σ = 13331131002. Its totient is φ = 13331131000.

The previous prime is 13331130971. The next prime is 13331131019. The reversal of 13331131001 is 10013113331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9711905401 + 3619225600 = 98549^2 + 60160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13331131001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331131031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665565500 + 6665565501.

It is an arithmetic number, because the mean of its divisors is an integer number (6665565501).

Almost surely, 213331131001 is an apocalyptic number.

It is an amenable number.

13331131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331131001 is an equidigital number, since it uses as much as digits as its factorization.

13331131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13331131001 its reverse (10013113331), we get a palindrome (23344244332).

The spelling of 13331131001 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-one thousand, one".