131430333112400 has 240 divisors, whose sum is σ = 371503854195840. Its totient is φ = 43739784345600.

The previous prime is 131430333112391. The next prime is 131430333112457. The reversal of 131430333112400 is 4211333034131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42108911 + ... + 45122289.

It is an arithmetic number, because the mean of its divisors is an integer number (1547932725816).

Almost surely, 2^{131430333112400} is an apocalyptic number.

131430333112400 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 131430333112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185751927097920).

131430333112400 is an abundant number, since it is smaller than the sum of its proper divisors (240073521083440).

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

131430333112400 is a wasteful number, since it uses less digits than its factorization.

131430333112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013862 (or 3013851 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131430333112400 its reverse (4211333034131), we get a palindrome (135641666146531).

The spelling of 131430333112400 in words is "one hundred thirty-one trillion, four hundred thirty billion, three hundred thirty-three million, one hundred twelve thousand, four hundred".