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13312214014331 = 415330797120551
BaseRepresentation
bin1100000110110111110111…
…0010011001100101111011
31202010122011002020202211202
43001231331302121211323
53221101403241424311
644151314030244415
72542530034054211
oct301557562314573
952118132222752
1013312214014331
114272750842811
1215abbb565670b
1375744b0a192b
14340459374cb1
1518143428ce3b
hexc1b7dc9997b

13312214014331 has 32 divisors (see below), whose sum is σ = 13954494951936. Its totient is φ = 12687274080000.

The previous prime is 13312214014301. The next prime is 13312214014339. The reversal of 13312214014331 is 13341041221331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13312214014331 is a prime.

It is a super-2 number, since 2×133122140143312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13312214014294 and 13312214014303.

It is not an unprimeable number, because it can be changed into a prime (13312214014339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647754506 + ... + 647775056.

It is an arithmetic number, because the mean of its divisors is an integer number (436077967248).

Almost surely, 213312214014331 is an apocalyptic number.

13312214014331 is a deficient number, since it is larger than the sum of its proper divisors (642280937605).

13312214014331 is a wasteful number, since it uses less digits than its factorization.

13312214014331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13312214014331 its reverse (13341041221331), we get a palindrome (26653255235662).

The spelling of 13312214014331 in words is "thirteen trillion, three hundred twelve billion, two hundred fourteen million, fourteen thousand, three hundred thirty-one".

Divisors: 1 41 53 307 971 2173 12587 16271 20551 39811 51463 298097 667111 842591 1089203 2109983 6309157 12221977 15799141 19955021 44657323 258675437 334385321 647764781 818155861 1057616113 6126191447 13709798161 43362260633 251173849327 324688146691 13312214014331