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131201221313 = 992313221931
BaseRepresentation
bin111101000110000110…
…0111100001011000001
3110112122122020121111002
41322030030330023001
54122200003040223
6140134545301345
712323200660211
oct1721414741301
9415578217432
10131201221313
115070773a518
1221517034855
13c4aba05b86
1464c8c36241
15362d540e28
hex1e8c33c2c1

131201221313 has 4 divisors (see below), whose sum is σ = 131214453168. Its totient is φ = 131187989460.

The previous prime is 131201221297. The next prime is 131201221357. The reversal of 131201221313 is 313122102131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 131201221313 - 24 = 131201221297 is a prime.

It is a super-3 number, since 3×1312012213133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131201221813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6601043 + ... + 6620888.

It is an arithmetic number, because the mean of its divisors is an integer number (32803613292).

Almost surely, 2131201221313 is an apocalyptic number.

It is an amenable number.

131201221313 is a deficient number, since it is larger than the sum of its proper divisors (13231855).

131201221313 is an equidigital number, since it uses as much as digits as its factorization.

131201221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13231854.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131201221313 its reverse (313122102131), we get a palindrome (444323323444).

The spelling of 131201221313 in words is "one hundred thirty-one billion, two hundred one million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 9923 13221931 131201221313