131102410411440 has 960 divisors, whose sum is σ = 507045140784000. Its totient is φ = 30269467238400.

The previous prime is 131102410411411. The next prime is 131102410411493. The reversal of 131102410411440 is 44114014201131.

131102410411440 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 241 + 0 + 411 + 4 + 4 + 0 = 666.

It is an unprimeable number.

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, 3035529366 + ... + 3035572554.

It is an arithmetic number, because the mean of its divisors is an integer number (528172021650).

Almost surely, 2^{131102410411440} is an apocalyptic number.

131102410411440 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 131102410411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253522570392000).

131102410411440 is an abundant number, since it is smaller than the sum of its proper divisors (375942730372560).

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

131102410411440 is a wasteful number, since it uses less digits than its factorization.

131102410411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43367 (or 43332 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131102410411440 its reverse (44114014201131), we get a palindrome (175216424612571).

The spelling of 131102410411440 in words is "one hundred thirty-one trillion, one hundred two billion, four hundred ten million, four hundred eleven thousand, four hundred forty".