131031444401 has 64 divisors (see below), whose sum is σ = 163645574400. Its totient is φ = 103270809600.

The previous prime is 131031444373. The next prime is 131031444433. The reversal of 131031444401 is 104444130131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-131031444401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131031444451) 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 63 ways as a sum of consecutive naturals, for example, 23730521 + ... + 23736041.

It is an arithmetic number, because the mean of its divisors is an integer number (2556962100).

Almost surely, 2^131031444401 is an apocalyptic number.

131031444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131031444401 is a deficient number, since it is larger than the sum of its proper divisors (32614129999).

131031444401 is a wasteful number, since it uses less digits than its factorization.

131031444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131031444401 its reverse (104444130131), we get a palindrome (235475574532).

The spelling of 131031444401 in words is "one hundred thirty-one billion, thirty-one million, four hundred forty-four thousand, four hundred one".