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13312233232431 = 3737201122973709
BaseRepresentation
bin1100000110110111111011…
…1011101101100000101111
31202010122012102102011010020
43001231332323231200233
53221101423201414211
644151315554213223
72542530356315520
oct301557673554057
952118172364106
1013312233232431
114272760679641
1215abbbbb84213
137574520701a3
1434045bb38847
15181435cd7306
hexc1b7eeed82f

13312233232431 has 64 divisors (see below), whose sum is σ = 20858615823360. Its totient is φ = 7392501365760.

The previous prime is 13312233232223. The next prime is 13312233232583. The reversal of 13312233232431 is 13423233221331.

It is not a de Polignac number, because 13312233232431 - 213 = 13312233224239 is a prime.

It is a super-2 number, since 2×133122332324312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312233232392 and 13312233232401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312233232931) 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, 3589168605 + ... + 3589172313.

It is an arithmetic number, because the mean of its divisors is an integer number (325915872240).

Almost surely, 213312233232431 is an apocalyptic number.

13312233232431 is a deficient number, since it is larger than the sum of its proper divisors (7546382590929).

13312233232431 is a wasteful number, since it uses less digits than its factorization.

13312233232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064.

The product of its digits is 46656, while the sum is 33.

Adding to 13312233232431 its reverse (13423233221331), we get a palindrome (26735466453762).

It can be divided in two parts, 1331223 and 3232431, that added together give a palindrome (4563654).

The spelling of 13312233232431 in words is "thirteen trillion, three hundred twelve billion, two hundred thirty-three million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 37 111 259 777 2011 2297 3709 6033 6891 11127 14077 16079 25963 42231 48237 74407 77889 84989 137233 223221 254967 411699 520849 594923 960631 1562547 1784769 2881893 4619267 7458799 8519573 13857801 22376397 25558719 32334869 52211593 59637011 97004607 156634779 170912879 178911033 275975563 315224201 512738637 827926689 945672603 1196390153 1931828941 2206569407 3589170459 5795486823 6619708221 17132861303 51398583909 119930029121 359790087363 633915868211 1901747604633 4437411077477 13312233232431