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13132123231311 = 337251281985129
BaseRepresentation
bin1011111100011000111110…
…0010100101010001001111
31201111102022020200002201000
42333012033202211101033
53210124042021400221
643532451503551343
72523523153500450
oct277061742452117
951442266602630
1013132123231311
114203336234a47
1215811155bb553
1374347a6c2c26
143358534a7127
1517b8e3b00e26
hexbf18f8a544f

13132123231311 has 64 divisors (see below), whose sum is σ = 22402329062400. Its totient is φ = 7447567680000.

The previous prime is 13132123231273. The next prime is 13132123231333. The reversal of 13132123231311 is 11313232123131.

13132123231311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 21 + 2 + 323 + 1 + 311 = 666.

It is not a de Polignac number, because 13132123231311 - 222 = 13132119037007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132123231391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12837795 + ... + 13822923.

It is an arithmetic number, because the mean of its divisors is an integer number (350036391600).

Almost surely, 213132123231311 is an apocalyptic number.

13132123231311 is a deficient number, since it is larger than the sum of its proper divisors (9270205831089).

13132123231311 is a wasteful number, since it uses less digits than its factorization.

13132123231311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985677 (or 985671 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13132123231311 its reverse (11313232123131), we get a palindrome (24445355354442).

The spelling of 13132123231311 in words is "thirteen trillion, one hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 251 281 753 843 1757 1967 2259 2529 5271 5901 6777 7587 15813 17703 47439 53109 70531 211593 493717 634779 985129 1481151 1904337 2955387 4443453 6895903 8866161 13330359 20687709 26598483 62063127 186189381 247267379 276821249 741802137 830463747 1730871653 1937748743 2225406411 2491391241 5192614959 5813246229 6676219233 7474173723 15577844877 17439738687 46733534631 52319216061 69482133499 208446400497 486374934493 625339201491 1459124803479 1876017604473 4377374410437 13132123231311