131012441436261 has 128 divisors (see below), whose sum is σ = 235529640345600. Its totient is φ = 62685344332800.

The previous prime is 131012441436161. The next prime is 131012441436271. The reversal of 131012441436261 is 162634144210131.

It is not a de Polignac number, because 131012441436261 - 2²³ = 131012433047653 is a prime.

It is a super-2 number, since 2×131012441436261² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012441436271) 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 127 ways as a sum of consecutive naturals, for example, 1993127766 + ... + 1993193496.

It is an arithmetic number, because the mean of its divisors is an integer number (1840075315200).

Almost surely, 2^{131012441436261} is an apocalyptic number.

131012441436261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131012441436261 is a deficient number, since it is larger than the sum of its proper divisors (104517198909339).

131012441436261 is a wasteful number, since it uses less digits than its factorization.

131012441436261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76615.

The product of its (nonzero) digits is 82944, while the sum is 39.

Adding to 131012441436261 its reverse (162634144210131), we get a palindrome (293646585646392).

The spelling of 131012441436261 in words is "one hundred thirty-one trillion, twelve billion, four hundred forty-one million, four hundred thirty-six thousand, two hundred sixty-one".