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13131311131 = 63131208001
BaseRepresentation
bin11000011101010111…
…11110100000011011
31020220010212201110201
430032223332200123
5203343103424011
610011001323031
7643256205631
oct141653764033
936803781421
1013131311131
115629312454
122665796477
1313136591b3
148c7d8b351
1551cc3dcc1
hex30eafe81b

13131311131 has 4 divisors (see below), whose sum is σ = 13131582264. Its totient is φ = 13131040000.

The previous prime is 13131311119. The next prime is 13131311143. The reversal of 13131311131 is 13111313131.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (13131311119) and next prime (13131311143).

It is a cyclic number.

It is not a de Polignac number, because 13131311131 - 217 = 13131180059 is a prime.

It is a super-2 number, since 2×131313111312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131311099 and 13131311108.

It is not an unprimeable number, because it can be changed into a prime (13131318131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40870 + ... + 167131.

It is an arithmetic number, because the mean of its divisors is an integer number (3282895566).

Almost surely, 213131311131 is an apocalyptic number.

13131311131 is a deficient number, since it is larger than the sum of its proper divisors (271133).

13131311131 is an equidigital number, since it uses as much as digits as its factorization.

13131311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271132.

The product of its digits is 81, while the sum is 19.

Adding to 13131311131 its reverse (13111313131), we get a palindrome (26242624262).

The spelling of 13131311131 in words is "thirteen billion, one hundred thirty-one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 63131 208001 13131311131