131210032102400 has 264 divisors, whose sum is σ = 337305490590720. Its totient is φ = 50546462883840.

The previous prime is 131210032102319. The next prime is 131210032102403. The reversal of 131210032102400 is 4201230012131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131210032102403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294510209 + ... + 294955391.

Almost surely, 2^{131210032102400} is an apocalyptic number.

131210032102400 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 131210032102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652745295360).

131210032102400 is an abundant number, since it is smaller than the sum of its proper divisors (206095458488320).

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

131210032102400 is a wasteful number, since it uses less digits than its factorization.

131210032102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445639 (or 445616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131210032102400 its reverse (4201230012131), we get a palindrome (135411262114531).

The spelling of 131210032102400 in words is "one hundred thirty-one trillion, two hundred ten billion, thirty-two million, one hundred two thousand, four hundred".