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13132533033 = 3228131716381
BaseRepresentation
bin11000011101100001…
…01000110100101001
31020220020011210121100
430032300220310221
5203343412024113
610011043432013
7643302455214
oct141660506451
936806153540
1013132533033
115629a77494
122666085609
131313996409
148c81c877b
1551cdd0d73
hex30ec28d29

13132533033 has 24 divisors (see below), whose sum is σ = 19097939016. Its totient is φ = 8695814400.

The previous prime is 13132533019. The next prime is 13132533053. The reversal of 13132533033 is 33033523131.

13132533033 is a `hidden beast` number, since 1 + 3 + 1 + 325 + 330 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411400089 + 12721132944 = 20283^2 + 112788^2 .

It is not a de Polignac number, because 13132533033 - 24 = 13132533017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13132532988 and 13132533006.

It is not an unprimeable number, because it can be changed into a prime (13132533053) 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, 793503 + ... + 809883.

It is an arithmetic number, because the mean of its divisors is an integer number (795747459).

Almost surely, 213132533033 is an apocalyptic number.

It is an amenable number.

13132533033 is a deficient number, since it is larger than the sum of its proper divisors (5965405983).

13132533033 is a wasteful number, since it uses less digits than its factorization.

13132533033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16985 (or 16982 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

The spelling of 13132533033 in words is "thirteen billion, one hundred thirty-two million, five hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 281 317 843 951 2529 2853 16381 49143 89077 147429 267231 801693 4603061 5192777 13809183 15578331 41427549 46734993 1459170337 4377511011 13132533033