131218100133120 has 6912 divisors, whose sum is σ = 680212850688000. Its totient is φ = 23542214492160.

The previous prime is 131218100133103. The next prime is 131218100133173. The reversal of 131218100133120 is 21331001812131.

131218100133120 is a `hidden beast` number, since 1 + 31 + 218 + 100 + 1 + 3 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1660988609241 + ... + 1660988609319.

It is an arithmetic number, because the mean of its divisors is an integer number (98410424000).

Almost surely, 2^{131218100133120} is an apocalyptic number.

131218100133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131218100133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340106425344000).

131218100133120 is an abundant number, since it is smaller than the sum of its proper divisors (548994750554880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131218100133120 is a wasteful number, since it uses less digits than its factorization.

131218100133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131218100133120 its reverse (21331001812131), we get a palindrome (152549101945251).

The spelling of 131218100133120 in words is "one hundred thirty-one trillion, two hundred eighteen billion, one hundred million, one hundred thirty-three thousand, one hundred twenty".