131113132011120 has 320 divisors, whose sum is σ = 489967348654080. Its totient is φ = 28333113099264.

The previous prime is 131113132011107. The next prime is 131113132011143. The reversal of 131113132011120 is 21110231311131.

131113132011120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 11327839 + ... + 19762241.

It is an arithmetic number, because the mean of its divisors is an integer number (1531147964544).

Almost surely, 2^{131113132011120} is an apocalyptic number.

131113132011120 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 131113132011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244983674327040).

131113132011120 is an abundant number, since it is smaller than the sum of its proper divisors (358854216642960).

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

131113132011120 is a wasteful number, since it uses less digits than its factorization.

131113132011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434932 (or 8434926 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131113132011120 its reverse (21110231311131), we get a palindrome (152223363322251).

The spelling of 131113132011120 in words is "one hundred thirty-one trillion, one hundred thirteen billion, one hundred thirty-two million, eleven thousand, one hundred twenty".