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131141113131 = 3719328674469
BaseRepresentation
bin111101000100010011…
…1101001010100101011
3110112111110010210120010
41322020213221110223
54122034111110011
6140125001103003
712321541032540
oct1721047512453
9415443123503
10131141113131
1150686815336
12214baa87a63
13c49c41b8c2
1464c0c6abc7
15362811b1a6
hex1e889e952b

131141113131 has 16 divisors (see below), whose sum is σ = 210351660800. Its totient is φ = 70993685088.

The previous prime is 131141113127. The next prime is 131141113141. The reversal of 131141113131 is 131311141131.

It is not a de Polignac number, because 131141113131 - 22 = 131141113127 is a prime.

It is a super-2 number, since 2×1311411131312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141113098 and 131141113107.

It is not an unprimeable number, because it can be changed into a prime (131141113141) 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 15 ways as a sum of consecutive naturals, for example, 164336836 + ... + 164337633.

It is an arithmetic number, because the mean of its divisors is an integer number (13146978800).

Almost surely, 2131141113131 is an apocalyptic number.

131141113131 is a deficient number, since it is larger than the sum of its proper divisors (79210547669).

131141113131 is a wasteful number, since it uses less digits than its factorization.

131141113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328674498.

The product of its digits is 108, while the sum is 21.

Adding to 131141113131 its reverse (131311141131), we get a palindrome (262452254262).

The spelling of 131141113131 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 328674469 986023407 2300721283 6244814911 6902163849 18734444733 43713704377 131141113131