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131311431433 = 713172312729059
BaseRepresentation
bin111101001001011000…
…1010110111100001001
3110112221022121212100101
41322102301112330021
54122411211301213
6140153523405401
712326006515420
oct1722261267411
9415838555311
10131311431433
1150763974a66
1221547b23861
13c4c87b2a70
1464d97242b7
153638060bdd
hex1e92c56f09

131311431433 has 64 divisors (see below), whose sum is σ = 179972997120. Its totient is φ = 92792189952.

The previous prime is 131311431353. The next prime is 131311431457. The reversal of 131311431433 is 334134113131.

It is a happy number.

It is not a de Polignac number, because 131311431433 - 225 = 131277877001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131311431463) 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 63 ways as a sum of consecutive naturals, for example, 4504258 + ... + 4533316.

It is an arithmetic number, because the mean of its divisors is an integer number (2812078080).

Almost surely, 2131311431433 is an apocalyptic number.

131311431433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131311431433 is a deficient number, since it is larger than the sum of its proper divisors (48661565687).

131311431433 is a wasteful number, since it uses less digits than its factorization.

131311431433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29246.

The product of its digits is 3888, while the sum is 28.

Adding to 131311431433 its reverse (334134113131), we get a palindrome (465445544564).

The spelling of 131311431433 in words is "one hundred thirty-one billion, three hundred eleven million, four hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 7 13 17 23 91 119 127 161 221 299 391 889 1547 1651 2093 2159 2737 2921 5083 11557 15113 20447 28067 29059 35581 37973 49657 196469 203413 265811 347599 377767 494003 645541 668357 2644369 3458021 3690493 4518787 4678499 6422039 8688641 11362069 25833451 44954273 47976409 60820487 62738381 79534483 84881339 147706897 335834863 439168667 594169373 815598953 1033948279 1103457407 1442982763 5709192671 7724201849 10100879341 18758775919 131311431433