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131313404001 = 3139743180537
BaseRepresentation
bin111101001001011100…
…0111000100001100001
3110112221110100002012110
41322102320320201201
54122412212412001
6140154033545533
712326032342353
oct1722270704141
9415843302173
10131313404001
1150764aa1a8a
12215487152a9
13c4c9023870
1464d9ab90d3
1536383003d6
hex1e92e38861

131313404001 has 32 divisors (see below), whose sum is σ = 190940779008. Its totient is φ = 79788625920.

The previous prime is 131313403993. The next prime is 131313404017. The reversal of 131313404001 is 100404313131.

It is not a de Polignac number, because 131313404001 - 23 = 131313403993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131313424001) 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, 1590205 + ... + 1670741.

It is an arithmetic number, because the mean of its divisors is an integer number (5966899344).

Almost surely, 2131313404001 is an apocalyptic number.

It is an amenable number.

131313404001 is a deficient number, since it is larger than the sum of its proper divisors (59627375007).

131313404001 is a wasteful number, since it uses less digits than its factorization.

131313404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81081.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131313404001 its reverse (100404313131), we get a palindrome (231717717132).

The spelling of 131313404001 in words is "one hundred thirty-one billion, three hundred thirteen million, four hundred four thousand, one".

Divisors: 1 3 13 39 97 291 431 1261 1293 3783 5603 16809 41807 80537 125421 241611 543491 1046981 1630473 3140943 7812089 23436267 34711447 101557157 104134341 304671471 451248811 1353746433 3367010359 10101031077 43771134667 131313404001