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131221403313 = 37111343696771
BaseRepresentation
bin111101000110101100…
…1111011011010110001
3110112201001012221222120
41322031121323122301
54122220134401223
6140140550024453
712323534344650
oct1721531733261
9415631187876
10131221403313
1150718074560
1221521948129
13c4b2c510a0
1464cb7ab197
1536301cabe3
hex1e8d67b6b1

131221403313 has 32 divisors (see below), whose sum is σ = 234913846272. Its totient is φ = 62923348800.

The previous prime is 131221403239. The next prime is 131221403371. The reversal of 131221403313 is 313304122131.

It is not a de Polignac number, because 131221403313 - 28 = 131221403057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131221403393) 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, 21845383 + ... + 21851388.

It is an arithmetic number, because the mean of its divisors is an integer number (7341057696).

Almost surely, 2131221403313 is an apocalyptic number.

131221403313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131221403313 is a deficient number, since it is larger than the sum of its proper divisors (103692442959).

131221403313 is a wasteful number, since it uses less digits than its factorization.

131221403313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43696805.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131221403313 its reverse (313304122131), we get a palindrome (444525525444).

The spelling of 131221403313 in words is "one hundred thirty-one billion, two hundred twenty-one million, four hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 43696771 131090313 305877397 480664481 568058023 917632191 1441993443 1704174069 3364651367 3976406161 6248638253 10093954101 11929218483 18745914759 43740467771 131221403313