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131221230313 = 1814201172573
BaseRepresentation
bin111101000110101100…
…1010001001011101001
3110112201000220011200011
41322031121101023221
54122220113332223
6140140542211521
712323533024405
oct1721531211351
9415630804604
10131221230313
1150717a66588
1221521883ba1
13c4b2bc0414
1464cb764105
15363019480d
hex1e8d6512e9

131221230313 has 8 divisors (see below), whose sum is σ = 131978382536. Its totient is φ = 130464432000.

The previous prime is 131221230299. The next prime is 131221230331. The reversal of 131221230313 is 313032122131.

It can be written as a sum of positive squares in 4 ways, for example, as 14177188624 + 117044041689 = 119068^2 + 342117^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131221230313 is a prime.

It is a super-2 number, since 2×1312212303132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131221230913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674095 + ... + 846667.

It is an arithmetic number, because the mean of its divisors is an integer number (16497297817).

Almost surely, 2131221230313 is an apocalyptic number.

It is an amenable number.

131221230313 is a deficient number, since it is larger than the sum of its proper divisors (757152223).

131221230313 is a wasteful number, since it uses less digits than its factorization.

131221230313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176955.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131221230313 its reverse (313032122131), we get a palindrome (444253352444).

The spelling of 131221230313 in words is "one hundred thirty-one billion, two hundred twenty-one million, two hundred thirty thousand, three hundred thirteen".

Divisors: 1 181 4201 172573 760381 31235713 724979173 131221230313