131040134401 has 16 divisors (see below), whose sum is σ = 151189920000. Its totient is φ = 112322624400.

The previous prime is 131040134377. The next prime is 131040134461. The reversal of 131040134401 is 104431040131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131040134401 - 2¹⁹ = 131039610113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131040134461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441651 + ... + 1529848.

It is an arithmetic number, because the mean of its divisors is an integer number (9449370000).

Almost surely, 2^131040134401 is an apocalyptic number.

131040134401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131040134401 is a deficient number, since it is larger than the sum of its proper divisors (20149785599).

131040134401 is a wasteful number, since it uses less digits than its factorization.

131040134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971740.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131040134401 its reverse (104431040131), we get a palindrome (235471174532).

The spelling of 131040134401 in words is "one hundred thirty-one billion, forty million, one hundred thirty-four thousand, four hundred one".