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131100201013 = 473701753679
BaseRepresentation
bin111101000011000101…
…1100101000000110101
3110112101121011020200111
41322012023211000311
54121443122413023
6140120540143021
712320533215325
oct1720613450065
9415347136614
10131100201013
1150665711471
12214a9237a71
13c493ac5b52
1464b965b285
15362473900d
hex1e862e5035

131100201013 has 8 divisors (see below), whose sum is σ = 133925921280. Its totient is φ = 128275995600.

The previous prime is 131100200999. The next prime is 131100201041. The reversal of 131100201013 is 310102001131.

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

It is a cyclic number.

It is not a de Polignac number, because 131100201013 - 217 = 131100069941 is a prime.

It is a super-3 number, since 3×1311002010133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131100200984 and 131100201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100291013) 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 7 ways as a sum of consecutive naturals, for example, 202893 + ... + 550786.

It is an arithmetic number, because the mean of its divisors is an integer number (16740740160).

Almost surely, 2131100201013 is an apocalyptic number.

It is an amenable number.

131100201013 is a deficient number, since it is larger than the sum of its proper divisors (2825720267).

131100201013 is an equidigital number, since it uses as much as digits as its factorization.

131100201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757427.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131100201013 its reverse (310102001131), we get a palindrome (441202202144).

The spelling of 131100201013 in words is "one hundred thirty-one billion, one hundred million, two hundred one thousand, thirteen".

Divisors: 1 47 3701 173947 753679 35422913 2789365979 131100201013