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13023113013 = 341011591873
BaseRepresentation
bin11000010000011110…
…01110111100110101
31020121121021200120000
430020033032330311
5203132404104023
65552134301513
7640503430341
oct141017167465
936547250500
1013023113013
115583231619
1226354b7899
1312c7105041
148b7864621
155134ba243
hex3083cef35

13023113013 has 20 divisors (see below), whose sum is σ = 19646908908. Its totient is φ = 8596108800.

The previous prime is 13023112987. The next prime is 13023113039. The reversal of 13023113013 is 31031132031.

It is a happy number.

13023113013 is a `hidden beast` number, since 130 + 231 + 1 + 301 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13023112987) and next prime (13023113039).

It can be written as a sum of positive squares in 2 ways, for example, as 12210692004 + 812421009 = 110502^2 + 28503^2 .

It is not a de Polignac number, because 13023113013 - 217 = 13022981941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023113063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787756 + ... + 804117.

Almost surely, 213023113013 is an apocalyptic number.

It is an amenable number.

13023113013 is a deficient number, since it is larger than the sum of its proper divisors (6623795895).

13023113013 is a wasteful number, since it uses less digits than its factorization.

13023113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591986 (or 1591977 counting only the distinct ones).

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

Adding to 13023113013 its reverse (31031132031), we get a palindrome (44054245044).

The spelling of 13023113013 in words is "thirteen billion, twenty-three million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 1591873 4775619 14326857 42980571 128941713 160779173 482337519 1447012557 4341037671 13023113013