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13032130113 = 3217292101281
BaseRepresentation
bin11000010001100011…
…01000011001000001
31020122020020210200200
430020301220121001
5203142211130423
65553055435413
7640643164302
oct141061503101
936566223620
1013032130113
115588330272
122638525b69
1312c8c413c2
148b8b307a9
1551419bd43
hex308c68641

13032130113 has 36 divisors (see below), whose sum is σ = 20642689548. Its totient is φ = 7894978560.

The previous prime is 13032130081. The next prime is 13032130123. The reversal of 13032130113 is 31103123031.

It is a happy number.

13032130113 is a `hidden beast` number, since 1 + 30 + 321 + 301 + 13 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 297459009 + 12734671104 = 17247^2 + 112848^2 .

It is not a de Polignac number, because 13032130113 - 25 = 13032130081 is a prime.

It is a super-2 number, since 2×130321301132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13032130123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78033 + ... + 179313.

It is an arithmetic number, because the mean of its divisors is an integer number (573408043).

Almost surely, 213032130113 is an apocalyptic number.

It is an amenable number.

13032130113 is a deficient number, since it is larger than the sum of its proper divisors (7610559435).

13032130113 is a wasteful number, since it uses less digits than its factorization.

13032130113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101362 (or 101330 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13032130113 its reverse (31103123031), we get a palindrome (44135253144).

The spelling of 13032130113 in words is "thirteen billion, thirty-two million, one hundred thirty thousand, one hundred thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 493 841 1479 2523 4437 7569 14297 42891 101281 128673 303843 911529 1721777 2937149 5165331 8811447 15495993 26434341 49931533 85177321 149794599 255531963 449383797 766595889 1448014457 4344043371 13032130113