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131312404041 = 37133712999941
BaseRepresentation
bin111101001001011010…
…1000100011001001001
3110112221101110021111220
41322102311010121021
54122411433412131
6140154000312253
712326021006130
oct1722265043111
9415841407456
10131312404041
1150764479775
1221548312689
13c4c8a63680
1464d98d8917
1536381a3e96
hex1e92d44649

131312404041 has 32 divisors (see below), whose sum is σ = 221311012608. Its totient is φ = 67391688960.

The previous prime is 131312404033. The next prime is 131312404051. The reversal of 131312404041 is 140404213131.

It is not a de Polignac number, because 131312404041 - 23 = 131312404033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131312404051) 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 31 ways as a sum of consecutive naturals, for example, 6489870 + ... + 6510071.

It is an arithmetic number, because the mean of its divisors is an integer number (6915969144).

Almost surely, 2131312404041 is an apocalyptic number.

It is an amenable number.

131312404041 is a deficient number, since it is larger than the sum of its proper divisors (89998608567).

131312404041 is a wasteful number, since it uses less digits than its factorization.

131312404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000001.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131312404041 its reverse (140404213131), we get a palindrome (271716617172).

The spelling of 131312404041 in words is "one hundred thirty-one billion, three hundred twelve million, four hundred four thousand, forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 12999941 38999823 90999587 168999233 272998761 480997817 506997699 1182994631 1442993451 3366984719 3548983893 6252971621 10100954157 18758914863 43770801347 131312404041