131350344041133 has 384 divisors, whose sum is σ = 246067960320000. Its totient is φ = 68301060599808.

The previous prime is 131350344041117. The next prime is 131350344041171. The reversal of 131350344041133 is 331140443053131.

131350344041133 is a `hidden beast` number, since 1 + 3 + 13 + 503 + 4 + 4 + 0 + 4 + 1 + 133 = 666.

It is not a de Polignac number, because 131350344041133 - 2⁴ = 131350344041117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350340041133) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 185261415783 + ... + 185261416491.

It is an arithmetic number, because the mean of its divisors is an integer number (640801980000).

Almost surely, 2^{131350344041133} is an apocalyptic number.

It is an amenable number.

131350344041133 is a deficient number, since it is larger than the sum of its proper divisors (114717616278867).

131350344041133 is a wasteful number, since it uses less digits than its factorization.

131350344041133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 131350344041133 its reverse (331140443053131), we get a palindrome (462490787094264).

The spelling of 131350344041133 in words is "one hundred thirty-one trillion, three hundred fifty billion, three hundred forty-four million, forty-one thousand, one hundred thirty-three".