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13133030031 = 3211155985091
BaseRepresentation
bin11000011101100101…
…00010001010001111
31020220021010001100200
430032302202022033
5203344023430111
610011102224543
7643306625202
oct141662421217
936807101320
1013133030031
11562a286930
122666285153
131313b0b6b4
148c82b7939
1551ce7d256
hex30eca228f

13133030031 has 24 divisors (see below), whose sum is σ = 20707989120. Its totient is φ = 7954213200.

The previous prime is 13133029981. The next prime is 13133030039. The reversal of 13133030031 is 13003033131.

13133030031 is a `hidden beast` number, since 1 + 3 + 1 + 330 + 300 + 31 = 666.

It is not a de Polignac number, because 13133030031 - 26 = 13133029967 is a prime.

It is a super-2 number, since 2×131330300312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13133029986 and 13133030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133030039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111796 + ... + 196886.

It is an arithmetic number, because the mean of its divisors is an integer number (862832880).

Almost surely, 213133030031 is an apocalyptic number.

13133030031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133030031 is a deficient number, since it is larger than the sum of its proper divisors (7574959089).

13133030031 is a wasteful number, since it uses less digits than its factorization.

13133030031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86667 (or 86664 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13133030031 its reverse (13003033131), we get a palindrome (26136063162).

The spelling of 13133030031 in words is "thirteen billion, one hundred thirty-three million, thirty thousand, thirty-one".

Divisors: 1 3 9 11 33 99 1559 4677 14031 17149 51447 85091 154341 255273 765819 936001 2808003 8424009 132656869 397970607 1193911821 1459225559 4377676677 13133030031