131131102301 has 8 divisors (see below), whose sum is σ = 138847959864. Its totient is φ = 123414607360.

The previous prime is 131131102253. The next prime is 131131102303. The reversal of 131131102301 is 103201131131.

It can be written as a sum of positive squares in 4 ways, for example, as 31028470201 + 100102632100 = 176149^2 + 316390^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131131102301 - 2³⁴ = 113951233117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 131131102301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131102303) 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 7 ways as a sum of consecutive naturals, for example, 1103081 + ... + 1216161.

It is an arithmetic number, because the mean of its divisors is an integer number (17355994983).

Almost surely, 2^131131102301 is an apocalyptic number.

It is an amenable number.

131131102301 is a deficient number, since it is larger than the sum of its proper divisors (7716857563).

131131102301 is a wasteful number, since it uses less digits than its factorization.

131131102301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181311.

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

Adding to 131131102301 its reverse (103201131131), we get a palindrome (234332233432).

The spelling of 131131102301 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred two thousand, three hundred one".