131123121133005 has 48 divisors (see below), whose sum is σ = 237900641194944. Its totient is φ = 69278758012800.

The previous prime is 131123121132919. The next prime is 131123121133007. The reversal of 131123121133005 is 500331121321131.

131123121133005 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 312 + 11 + 330 + 0 + 5 = 666.

It is not a de Polignac number, because 131123121133005 - 2²² = 131123116938701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131123121133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123121133007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504170296 + ... + 504430305.

It is an arithmetic number, because the mean of its divisors is an integer number (4956263358228).

Almost surely, 2^{131123121133005} is an apocalyptic number.

131123121133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131123121133005 is a deficient number, since it is larger than the sum of its proper divisors (106777520061939).

131123121133005 is a wasteful number, since it uses less digits than its factorization.

131123121133005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008600728 (or 1008600716 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 131123121133005 its reverse (500331121321131), we get a palindrome (631454242454136).

The spelling of 131123121133005 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, five".