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13133313133 = 193753675261
BaseRepresentation
bin11000011101100111…
…00111010001101101
31020220021122102200221
430032303213101231
5203344112010013
610011112251341
7643312214443
oct141663472155
936807572627
1013133313133
11562a45a5a6
1226663a0b51
131313baa505
148c834cb93
1551ced708d
hex30ece746d

13133313133 has 32 divisors (see below), whose sum is σ = 14684768640. Its totient is φ = 11697903360.

The previous prime is 13133313131. The next prime is 13133313173. The reversal of 13133313133 is 33131333131.

It is a cyclic number.

It is not a de Polignac number, because 13133313133 - 21 = 13133313131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13133313098 and 13133313107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133313131) 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 31 ways as a sum of consecutive naturals, for example, 2493723 + ... + 2498983.

It is an arithmetic number, because the mean of its divisors is an integer number (458899020).

Almost surely, 213133313133 is an apocalyptic number.

It is an amenable number.

13133313133 is a deficient number, since it is larger than the sum of its proper divisors (1551455507).

13133313133 is a wasteful number, since it uses less digits than its factorization.

13133313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437.

The product of its digits is 2187, while the sum is 25.

Adding to 13133313133 its reverse (33131333131), we get a palindrome (46264646264).

The spelling of 13133313133 in words is "thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 19 37 53 67 703 1007 1273 1961 2479 3551 5261 37259 47101 67469 99959 131387 194657 278833 352487 2496353 3698483 5297827 6697253 10316821 13042019 18681811 196019599 247798361 354954409 691227007 13133313133