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131213121220321 = 7172347940490033
BaseRepresentation
bin11101110101011001101111…
…011110101110111011100001
3122012120212000000121110020021
4131311121233132232323201
5114144243433013022241
61143022250431513441
736431556315015250
oct3565315736567341
9565525000543207
10131213121220321
1138899199234358
1212871b94988881
13582a4623a508a
142458a6b1a8797
15102824b17d0d1
hex77566f7aeee1

131213121220321 has 16 divisors (see below), whose sum is σ = 165682333557504. Its totient is φ = 101250314947584.

The previous prime is 131213121220301. The next prime is 131213121220327. The reversal of 131213121220321 is 123022121312131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131213121220321 is a prime.

It is a super-2 number, since 2×1312131212203212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131213121220327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23970242280 + ... + 23970247753.

It is an arithmetic number, because the mean of its divisors is an integer number (10355145847344).

Almost surely, 2131213121220321 is an apocalyptic number.

It is an amenable number.

131213121220321 is a deficient number, since it is larger than the sum of its proper divisors (34469212337183).

131213121220321 is a wasteful number, since it uses less digits than its factorization.

131213121220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47940490080.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131213121220321 its reverse (123022121312131), we get a palindrome (254235242532452).

The spelling of 131213121220321 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 7 17 23 119 161 391 2737 47940490033 335583430231 814988330561 1102631270759 5704918313927 7718418895313 18744731602903 131213121220321