131001341334135 has 32 divisors (see below), whose sum is σ = 211034662502400. Its totient is φ = 69389991216000.

The previous prime is 131001341334113. The next prime is 131001341334137. The reversal of 131001341334135 is 531433143100131.

It is not a de Polignac number, because 131001341334135 - 2¹⁴ = 131001341317751 is a prime.

It is a super-2 number, since 2×131001341334135² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001341334096 and 131001341334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001341334137) 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, 14728960 + ... + 21884810.

It is an arithmetic number, because the mean of its divisors is an integer number (6594833203200).

Almost surely, 2^{131001341334135} is an apocalyptic number.

131001341334135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131001341334135 is a deficient number, since it is larger than the sum of its proper divisors (80033321168265).

131001341334135 is a wasteful number, since it uses less digits than its factorization.

131001341334135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164199.

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 131001341334135 its reverse (531433143100131), we get a palindrome (662434484434266).

The spelling of 131001341334135 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, three hundred thirty-four thousand, one hundred thirty-five".