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131101112332213 = 1727518832802383
BaseRepresentation
bin11101110011110001011011…
…001110101110111110110101
3122012012010212221010101102221
4131303301123032232332311
5114140430034224112323
61142455004120402341
736420512531124202
oct3563613316567665
9565163787111387
10131101112332213
1138855740126941
12128543353163b1
13581ca2193b3aa
142453483294ca9
151025392a1955d
hex773c5b3aefb5

131101112332213 has 8 divisors (see below), whose sum is σ = 138813042446208. Its totient is φ = 123389193326784.

The previous prime is 131101112332171. The next prime is 131101112332231. The reversal of 131101112332213 is 312233211101131.

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

It is not a de Polignac number, because 131101112332213 - 233 = 131092522397621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101112332273) 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 7 ways as a sum of consecutive naturals, for example, 45380820 + ... + 48183202.

It is an arithmetic number, because the mean of its divisors is an integer number (17351630305776).

Almost surely, 2131101112332213 is an apocalyptic number.

It is an amenable number.

131101112332213 is a deficient number, since it is larger than the sum of its proper divisors (7711930113995).

131101112332213 is a wasteful number, since it uses less digits than its factorization.

131101112332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554283.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 131101112332213 its reverse (312233211101131), we get a palindrome (443334323433344).

The spelling of 131101112332213 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred twelve million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 17 2751883 2802383 46782011 47640511 7711830137189 131101112332213