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13132414133 = 174331784053
BaseRepresentation
bin11000011101100000…
…01011110010110101
31020220012221202111122
430032300023302311
5203343344223013
610011041113325
7643301451446
oct141660136265
936805852448
1013132414133
1156299a6123
122666028845
131313954267
148c81972cd
1551cdaaa08
hex30ec0bcb5

13132414133 has 8 divisors (see below), whose sum is σ = 13937029848. Its totient is φ = 12331367424.

The previous prime is 13132414123. The next prime is 13132414159. The reversal of 13132414133 is 33141423131.

13132414133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 141657604 + 12990756529 = 11902^2 + 113977^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13132414133 - 24 = 13132414117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132414123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884666 + ... + 899387.

It is an arithmetic number, because the mean of its divisors is an integer number (1742128731).

Almost surely, 213132414133 is an apocalyptic number.

It is an amenable number.

13132414133 is a deficient number, since it is larger than the sum of its proper divisors (804615715).

13132414133 is a wasteful number, since it uses less digits than its factorization.

13132414133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784503.

The product of its digits is 2592, while the sum is 26.

Adding to 13132414133 its reverse (33141423131), we get a palindrome (46273837264).

The spelling of 13132414133 in words is "thirteen billion, one hundred thirty-two million, four hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 17 433 7361 1784053 30328901 772494949 13132414133