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131321331231 = 323137101913633
BaseRepresentation
bin111101001001101011…
…1000111111000011111
3110112222000020211022120
41322103113013320133
54122421230044411
6140154515514023
712326156616666
oct1722327077037
9415860224276
10131321331231
1150769516912
122154b2b8913
13c4ca86ab2c
1464dab7dddd
153638d69106
hex1e935c7e1f

131321331231 has 32 divisors (see below), whose sum is σ = 184235696640. Its totient is φ = 83042217984.

The previous prime is 131321331203. The next prime is 131321331233. The reversal of 131321331231 is 132133123131.

It is not a de Polignac number, because 131321331231 - 225 = 131287776799 is a prime.

It is a super-2 number, since 2×1313213312312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321331233) 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 31 ways as a sum of consecutive naturals, for example, 9625791 + ... + 9639423.

It is an arithmetic number, because the mean of its divisors is an integer number (5757365520).

Almost surely, 2131321331231 is an apocalyptic number.

131321331231 is a deficient number, since it is larger than the sum of its proper divisors (52914365409).

131321331231 is a wasteful number, since it uses less digits than its factorization.

131321331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14815.

The product of its digits is 972, while the sum is 24.

Adding to 131321331231 its reverse (132133123131), we get a palindrome (263454454362).

The spelling of 131321331231 in words is "one hundred thirty-one billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 23 69 137 411 1019 3057 3151 9453 13633 23437 40899 70311 139603 313559 418809 940677 1867721 3210869 5603163 9632607 13892027 41676081 42957583 128872749 319516621 958549863 1903207699 5709623097 43773777077 131321331231