131144004124133 has 32 divisors (see below), whose sum is σ = 178968041478912. Its totient is φ = 92782970726400.

The previous prime is 131144004124121. The next prime is 131144004124153. The reversal of 131144004124133 is 331421400441131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131144004124133 is a prime.

It is a super-2 number, since 2×131144004124133² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131144004124133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144004124153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073815916 + ... + 1073938037.

It is an arithmetic number, because the mean of its divisors is an integer number (5592751296216).

Almost surely, 2^{131144004124133} is an apocalyptic number.

131144004124133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131144004124133 is a deficient number, since it is larger than the sum of its proper divisors (47824037354779).

131144004124133 is a wasteful number, since it uses less digits than its factorization.

131144004124133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147754045.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131144004124133 its reverse (331421400441131), we get a palindrome (462565404565264).

The spelling of 131144004124133 in words is "one hundred thirty-one trillion, one hundred forty-four billion, four million, one hundred twenty-four thousand, one hundred thirty-three".