131110320000000 has 704 divisors, whose sum is σ = 476540380053504. Its totient is φ = 31783680000000.

The previous prime is 131110319999977. The next prime is 131110320000013. The reversal of 131110320000000 is 23011131.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2639975169 + ... + 2640024831.

Almost surely, 2^{131110320000000} is an apocalyptic number.

131110320000000 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 131110320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238270190026752).

131110320000000 is an abundant number, since it is smaller than the sum of its proper divisors (345430060053504).

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

131110320000000 is an frugal number, since it uses more digits than its factorization.

131110320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49732 (or 49684 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131110320000000 its reverse (23011131), we get a palindrome (131110343011131).

The spelling of 131110320000000 in words is "one hundred thirty-one trillion, one hundred ten billion, three hundred twenty million", and thus it is an aban number.