131201433033440 has 768 divisors, whose sum is σ = 398474209437696. Its totient is φ = 39641591808000.

The previous prime is 131201433033403. The next prime is 131201433033457. The reversal of 131201433033440 is 44330334102131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131201433033397 and 131201433033406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36074079302 + ... + 36074082938.

It is an arithmetic number, because the mean of its divisors is an integer number (518846626872).

Almost surely, 2^{131201433033440} is an apocalyptic number.

131201433033440 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 131201433033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199237104718848).

131201433033440 is an abundant number, since it is smaller than the sum of its proper divisors (267272776404256).

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

131201433033440 is a wasteful number, since it uses less digits than its factorization.

131201433033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131201433033440 its reverse (44330334102131), we get a palindrome (175531767135571).

The spelling of 131201433033440 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred thirty-three million, thirty-three thousand, four hundred forty".