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131132011113 = 32419109731699
BaseRepresentation
bin111101000100000010…
…0111011001001101001
3110112110211000100221100
41322020010323021221
54122024243323423
6140124034032013
712321400463205
oct1721004731151
9415424010840
10131132011113
1150681668904
12214b7a18609
13c49a5829ac
1464bd97bb05
15362741e343
hex1e8813b269

131132011113 has 24 divisors (see below), whose sum is σ = 190044036000. Its totient is φ = 87130448064.

The previous prime is 131132011103. The next prime is 131132011139. The reversal of 131132011113 is 311110231131.

It is not a de Polignac number, because 131132011113 - 224 = 131115233897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131132011103) 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 23 ways as a sum of consecutive naturals, for example, 4120938 + ... + 4152636.

It is an arithmetic number, because the mean of its divisors is an integer number (7918501500).

Almost surely, 2131132011113 is an apocalyptic number.

It is an amenable number.

131132011113 is a deficient number, since it is larger than the sum of its proper divisors (58912024887).

131132011113 is a wasteful number, since it uses less digits than its factorization.

131132011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33221 (or 33218 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131132011113 its reverse (311110231131), we get a palindrome (442242242244).

The spelling of 131132011113 in words is "one hundred thirty-one billion, one hundred thirty-two million, eleven thousand, one hundred thirteen".

Divisors: 1 3 9 419 1097 1257 3291 3771 9873 31699 95097 285291 459643 1378929 4136787 13281881 34773803 39845643 104321409 119536929 312964227 14570223457 43710670371 131132011113