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131322213333 = 353741356243
BaseRepresentation
bin111101001001101101…
…0011111001111010101
3110112222001220122100000
41322103122133033111
54122421441311313
6140154550441513
712326200252503
oct1722332371725
9415861818300
10131322213333
1150769a69623
122154b663299
13c4caab949c
1464dad2d673
153638e90673
hex1e9369f3d5

131322213333 has 48 divisors (see below), whose sum is σ = 206957814336. Its totient is φ = 83104133760.

The previous prime is 131322213301. The next prime is 131322213349. The reversal of 131322213333 is 333312223131.

131322213333 is a `hidden beast` number, since 1 + 3 + 1 + 322 + 2 + 1 + 3 + 333 = 666.

It is not a de Polignac number, because 131322213333 - 25 = 131322213301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131322213297 and 131322213306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322215333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190510 + ... + 546752.

It is an arithmetic number, because the mean of its divisors is an integer number (4311621132).

Almost surely, 2131322213333 is an apocalyptic number.

It is an amenable number.

131322213333 is a deficient number, since it is larger than the sum of its proper divisors (75635601003).

131322213333 is an equidigital number, since it uses as much as digits as its factorization.

131322213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356336 (or 356324 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131322213333 its reverse (333312223131), we get a palindrome (464634436464).

The spelling of 131322213333 in words is "one hundred thirty-one billion, three hundred twenty-two million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 41 81 111 123 243 333 369 999 1107 1517 2997 3321 4551 8991 9963 13653 40959 122877 356243 368631 1068729 3206187 9618561 13180991 14605963 28855683 39542973 43817889 86567049 118628919 131453667 355886757 394361001 540420631 1067660271 1183083003 1621261893 3202980813 3549249009 4863785679 14591357037 43774071111 131322213333