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13133113011 = 331831326561
BaseRepresentation
bin11000011101100101…
…10110011010110011
31020220021021021012000
430032302312122303
5203344034104021
610011104105043
7643310422134
oct141662663263
936807237160
1013133113011
11562a333207
122666305183
131313b3a3b5
148c82d9c8b
1551ce97b26
hex30ecb66b3

13133113011 has 16 divisors (see below), whose sum is σ = 19458258720. Its totient is φ = 8754600960.

The previous prime is 13133113009. The next prime is 13133113013. The reversal of 13133113011 is 11031133131.

13133113011 is a `hidden beast` number, since 1 + 31 + 331 + 1 + 301 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13133113009) and next prime (13133113013).

It is not a de Polignac number, because 13133113011 - 21 = 13133113009 is a prime.

It is a super-2 number, since 2×131331130112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13133113013) 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 15 ways as a sum of consecutive naturals, for example, 481171 + ... + 507731.

It is an arithmetic number, because the mean of its divisors is an integer number (1216141170).

Almost surely, 213133113011 is an apocalyptic number.

13133113011 is a deficient number, since it is larger than the sum of its proper divisors (6325145709).

13133113011 is a wasteful number, since it uses less digits than its factorization.

13133113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44883 (or 44877 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13133113011 its reverse (11031133131), we get a palindrome (24164246142).

The spelling of 13133113011 in words is "thirteen billion, one hundred thirty-three million, one hundred thirteen thousand, eleven".

Divisors: 1 3 9 27 18313 26561 54939 79683 164817 239049 494451 717147 486411593 1459234779 4377704337 13133113011