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131131012301 = 732535770841
BaseRepresentation
bin111101000100000000…
…1000111010011001101
3110112110202010121211022
41322020001013103031
54122024014343201
6140124000403525
712321356133212
oct1721001072315
9415422117738
10131131012301
1150681046443
12214b76165a5
13c49a2c3193
1464bd79bb09
1536272c341b
hex1e880474cd

131131012301 has 8 divisors (see below), whose sum is σ = 132934446264. Its totient is φ = 129327770880.

The previous prime is 131131012283. The next prime is 131131012387. The reversal of 131131012301 is 103210131131.

It can be written as a sum of positive squares in 4 ways, for example, as 13551288100 + 117579724201 = 116410^2 + 342899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131012301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131131012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131012391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1815641 + ... + 1886481.

It is an arithmetic number, because the mean of its divisors is an integer number (16616805783).

Almost surely, 2131131012301 is an apocalyptic number.

It is an amenable number.

131131012301 is a deficient number, since it is larger than the sum of its proper divisors (1803433963).

131131012301 is an equidigital number, since it uses as much as digits as its factorization.

131131012301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96271.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131131012301 its reverse (103210131131), we get a palindrome (234341143432).

The spelling of 131131012301 in words is "one hundred thirty-one billion, one hundred thirty-one million, twelve thousand, three hundred one".

Divisors: 1 73 25357 70841 1851061 5171393 1796315237 131131012301