131200133002133 has 16 divisors (see below), whose sum is σ = 148729844289600. Its totient is φ = 114732987788160.

The previous prime is 131200133002129. The next prime is 131200133002157. The reversal of 131200133002133 is 331200331002131.

It is not a de Polignac number, because 131200133002133 - 2² = 131200133002129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131200133002099 and 131200133002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200133002933) 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, 39096338 + ... + 42319308.

It is an arithmetic number, because the mean of its divisors is an integer number (9295615268100).

Almost surely, 2^{131200133002133} is an apocalyptic number.

131200133002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131200133002133 is a deficient number, since it is larger than the sum of its proper divisors (17529711287467).

131200133002133 is a wasteful number, since it uses less digits than its factorization.

131200133002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387812.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131200133002133 its reverse (331200331002131), we get a palindrome (462400464004264).

The spelling of 131200133002133 in words is "one hundred thirty-one trillion, two hundred billion, one hundred thirty-three million, two thousand, one hundred thirty-three".