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131112311331 = 3429710170841
BaseRepresentation
bin111101000011011100…
…1110001101000100011
3110112102102221111220210
41322012321301220203
54122004222430311
6140122051505203
712321041154351
oct1720671615043
9415372844823
10131112311331
11506715330a1
12214b12b8203
13c496476111
1464bb0d07d1
15362582c3a6
hex1e86e71a23

131112311331 has 8 divisors (see below), whose sum is σ = 174857115664. Its totient is φ = 87387857280.

The previous prime is 131112311329. The next prime is 131112311347. The reversal of 131112311331 is 133113211131.

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

It is not a de Polignac number, because 131112311331 - 21 = 131112311329 is a prime.

It is a super-2 number, since 2×1311123113312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131112311298 and 131112311307.

It is not an unprimeable number, because it can be changed into a prime (131112311321) 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, 5072530 + ... + 5098311.

It is an arithmetic number, because the mean of its divisors is an integer number (21857139458).

Almost surely, 2131112311331 is an apocalyptic number.

131112311331 is a deficient number, since it is larger than the sum of its proper divisors (43744804333).

131112311331 is a wasteful number, since it uses less digits than its factorization.

131112311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175141.

The product of its digits is 162, while the sum is 21.

Adding to 131112311331 its reverse (133113211131), we get a palindrome (264225522462).

The spelling of 131112311331 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 4297 12891 10170841 30512523 43704103777 131112311331