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131324135125 = 5317300120593
BaseRepresentation
bin111101001001110000…
…1110100011011010101
3110112222012112021112111
41322103201310123111
54122422434311000
6140155055551021
712326222505421
oct1722341643325
9415865467474
10131324135125
1150770061487
122155022b471
13c4cb310141
1464db2adb81
15363921ecba
hex1e938746d5

131324135125 has 32 divisors (see below), whose sum is σ = 173599511904. Its totient is φ = 98841600000.

The previous prime is 131324135119. The next prime is 131324135233. The reversal of 131324135125 is 521531423131.

Adding to 131324135125 its reverse (521531423131), we get a palindrome (652855558256).

It can be written as a sum of positive squares in 16 ways, for example, as 32714318641 + 98609816484 = 180871^2 + 314022^2 .

It is not a de Polignac number, because 131324135125 - 213 = 131324126933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6366829 + ... + 6387421.

It is an arithmetic number, because the mean of its divisors is an integer number (5424984747).

Almost surely, 2131324135125 is an apocalyptic number.

It is an amenable number.

131324135125 is a deficient number, since it is larger than the sum of its proper divisors (42275376779).

131324135125 is a wasteful number, since it uses less digits than its factorization.

131324135125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23626 (or 23616 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The spelling of 131324135125 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 3001 15005 20593 51017 75025 102965 255085 350081 375125 514825 1275425 1750405 2574125 6377125 8752025 43760125 61799593 308997965 1050593081 1544989825 5252965405 7724949125 26264827025 131324135125