131530212000 has 288 divisors, whose sum is σ = 509238684864. Its totient is φ = 31886016000.

The previous prime is 131530211983. The next prime is 131530212013. The reversal of 131530212000 is 212035131.

131530212000 is a `hidden beast` number, since 13 + 1 + 530 + 2 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229927 + ... + 562073.

It is an arithmetic number, because the mean of its divisors is an integer number (1768189878).

Almost surely, 2^131530212000 is an apocalyptic number.

131530212000 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 131530212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254619342432).

131530212000 is an abundant number, since it is smaller than the sum of its proper divisors (377708472864).

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

131530212000 is a wasteful number, since it uses less digits than its factorization.

131530212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332189 (or 332168 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 131530212000 its reverse (212035131), we get a palindrome (131742247131).

The spelling of 131530212000 in words is "one hundred thirty-one billion, five hundred thirty million, two hundred twelve thousand".