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13008335831 is a prime number
BaseRepresentation
bin11000001110101101…
…10111001111010111
31020120120110221001222
430013112313033113
5203120113221311
65550445440555
7640234013231
oct140726671727
936516427058
1013008335831
115575959277
12263057015b
1312c402cc4a
148b58d9251
1551204badb
hex3075b73d7

13008335831 has 2 divisors, whose sum is σ = 13008335832. Its totient is φ = 13008335830.

The previous prime is 13008335797. The next prime is 13008335843. The reversal of 13008335831 is 13853380031.

13008335831 is nontrivially palindromic in base 6.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13008335831 is a prime.

It is a super-2 number, since 2×130083358312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13008335791 and 13008335800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13008335861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6504167915 + 6504167916.

It is an arithmetic number, because the mean of its divisors is an integer number (6504167916).

Almost surely, 213008335831 is an apocalyptic number.

13008335831 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008335831 is an equidigital number, since it uses as much as digits as its factorization.

13008335831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 13008335831 in words is "thirteen billion, eight million, three hundred thirty-five thousand, eight hundred thirty-one".