131201421023400 has 1152 divisors, whose sum is σ = 530546642841600. Its totient is φ = 26114441472000.

The previous prime is 131201421023369. The next prime is 131201421023423. The reversal of 131201421023400 is 4320124102131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4710819475 + ... + 4710847325.

It is an arithmetic number, because the mean of its divisors is an integer number (460543960800).

Almost surely, 2^{131201421023400} is an apocalyptic number.

131201421023400 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 131201421023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265273321420800).

131201421023400 is an abundant number, since it is smaller than the sum of its proper divisors (399345221818200).

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

131201421023400 is a wasteful number, since it uses less digits than its factorization.

131201421023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28167 (or 28139 counting only the distinct ones).

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

Adding to 131201421023400 its reverse (4320124102131), we get a palindrome (135521545125531).

The spelling of 131201421023400 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, twenty-three thousand, four hundred".