131141403412320 has 288 divisors, whose sum is σ = 480565006645248. Its totient is φ = 29973591309312.

The previous prime is 131141403412301. The next prime is 131141403412333. The reversal of 131141403412320 is 23214304141131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477012819 + ... + 477287661.

It is an arithmetic number, because the mean of its divisors is an integer number (1668628495296).

Almost surely, 2^{131141403412320} is an apocalyptic number.

131141403412320 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 131141403412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240282503322624).

131141403412320 is an abundant number, since it is smaller than the sum of its proper divisors (349423603232928).

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

131141403412320 is a wasteful number, since it uses less digits than its factorization.

131141403412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295162 (or 295147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131141403412320 its reverse (23214304141131), we get a palindrome (154355707553451).

The spelling of 131141403412320 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, four hundred twelve thousand, three hundred twenty".