131024213245200 has 480 divisors, whose sum is σ = 473931318061440. Its totient is φ = 30650502758400.

The previous prime is 131024213245157. The next prime is 131024213245207. The reversal of 131024213245200 is 2542312420131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131024213245207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670950774 + ... + 671146026.

It is an arithmetic number, because the mean of its divisors is an integer number (987356912628).

Almost surely, 2^{131024213245200} is an apocalyptic number.

131024213245200 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 131024213245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236965659030720).

131024213245200 is an abundant number, since it is smaller than the sum of its proper divisors (342907104816240).

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

131024213245200 is a wasteful number, since it uses less digits than its factorization.

131024213245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197067 (or 197056 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 131024213245200 its reverse (2542312420131), we get a palindrome (133566525665331).

The spelling of 131024213245200 in words is "one hundred thirty-one trillion, twenty-four billion, two hundred thirteen million, two hundred forty-five thousand, two hundred".