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13131131 = 13277699
BaseRepresentation
bin110010000101…
…110101111011
3220201010112012
4302011311323
511330144011
61145240135
7216420116
oct62056573
926633465
1013131131
117459682
12449304b
132949b00
141a5b57d
151245a8b
hexc85d7b

13131131 has 6 divisors (see below), whose sum is σ = 14219100. Its totient is φ = 12120888.

The previous prime is 13131127. The next prime is 13131133. The reversal of 13131131 is 13113131.

It is a happy number.

13131131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131131 - 22 = 13131127 is a prime.

It is a super-2 number, since 2×131311312 = 344853202678322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38681 + ... + 39018.

It is an arithmetic number, because the mean of its divisors is an integer number (2369850).

Almost surely, 213131131 is an apocalyptic number.

13131131 is a deficient number, since it is larger than the sum of its proper divisors (1087969).

13131131 is an equidigital number, since it uses as much as digits as its factorization.

13131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77725 (or 77712 counting only the distinct ones).

The product of its digits is 27, while the sum is 14.

The square root of 13131131 is about 3623.6902461441. The cubic root of 13131131 is about 235.9214224180.

Adding to 13131131 its reverse (13113131), we get a palindrome (26244262).

The spelling of 13131131 in words is "thirteen million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 169 77699 1010087 13131131