131203001441400 has 768 divisors, whose sum is σ = 500036795596800. Its totient is φ = 27776761159680.

The previous prime is 131203001441389. The next prime is 131203001441401. The reversal of 131203001441400 is 4144100302131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131203001441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1731626317 + ... + 1731702083.

It is an arithmetic number, because the mean of its divisors is an integer number (651089577600).

Almost surely, 2^{131203001441400} is an apocalyptic number.

131203001441400 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 131203001441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250018397798400).

131203001441400 is an abundant number, since it is smaller than the sum of its proper divisors (368833794155400).

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

131203001441400 is a wasteful number, since it uses less digits than its factorization.

131203001441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76196 (or 76187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131203001441400 its reverse (4144100302131), we get a palindrome (135347101743531).

The spelling of 131203001441400 in words is "one hundred thirty-one trillion, two hundred three billion, one million, four hundred forty-one thousand, four hundred".