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13132012133313 = 3229311623039443
BaseRepresentation
bin1011111100011000100011…
…1010110001101111000001
31201111102000111121201220100
42333012020322301233001
53210123330101231223
643532432454433013
72523520334253543
oct277061072615701
951442014551810
1013132012133313
114203289553417
1215810a4362769
13743460694b78
14335842827693
1517b8d8ea8043
hexbf188eb1bc1

13132012133313 has 24 divisors (see below), whose sum is σ = 20255532261120. Its totient is φ = 8180118787680.

The previous prime is 13132012133309. The next prime is 13132012133321. The reversal of 13132012133313 is 31333121023131.

13132012133313 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 1 + 2 + 1 + 3 + 331 + 3 = 666.

It is not a de Polignac number, because 13132012133313 - 22 = 13132012133309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132012133333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811511631 + ... + 811527812.

It is an arithmetic number, because the mean of its divisors is an integer number (843980510880).

Almost surely, 213132012133313 is an apocalyptic number.

It is an amenable number.

13132012133313 is a deficient number, since it is larger than the sum of its proper divisors (7123520127807).

13132012133313 is a wasteful number, since it uses less digits than its factorization.

13132012133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623039509 (or 1623039506 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13132012133313 its reverse (31333121023131), we get a palindrome (44465133156444).

The spelling of 13132012133313 in words is "thirteen trillion, one hundred thirty-two billion, twelve million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 29 31 87 93 261 279 899 2697 8091 1623039443 4869118329 14607354987 47068143847 50314222733 141204431541 150942668199 423613294623 452828004597 1459112459257 4377337377771 13132012133313