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13211013031 is a prime number
BaseRepresentation
bin11000100110111000…
…00000111110100111
31021002200211222220221
430103130000332213
5204024004404111
610022525505211
7645244520656
oct142334007647
937080758827
1013211013031
11566a2aa697
122688412207
131327013998
148d47b719d
15524c34371
hex313700fa7

13211013031 has 2 divisors, whose sum is σ = 13211013032. Its totient is φ = 13211013030.

The previous prime is 13211013007. The next prime is 13211013043. The reversal of 13211013031 is 13031011231.

13211013031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13211013031 - 211 = 13211010983 is a prime.

It is a super-2 number, since 2×132110130312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13211012996 and 13211013014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13211013931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605506515 + 6605506516.

It is an arithmetic number, because the mean of its divisors is an integer number (6605506516).

Almost surely, 213211013031 is an apocalyptic number.

13211013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211013031 is an equidigital number, since it uses as much as digits as its factorization.

13211013031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13211013031 its reverse (13031011231), we get a palindrome (26242024262).

The spelling of 13211013031 in words is "thirteen billion, two hundred eleven million, thirteen thousand, thirty-one".