131141100341020 has 144 divisors (see below), whose sum is σ = 346052444742144. Its totient is φ = 40863326486400.

The previous prime is 131141100340969. The next prime is 131141100341021. The reversal of 131141100341020 is 20143001141131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131141100340982 and 131141100341000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141100341021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57545475 + ... + 59780965.

It is an arithmetic number, because the mean of its divisors is an integer number (2403141977376).

Almost surely, 2^{131141100341020} is an apocalyptic number.

131141100341020 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 131141100341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173026222371072).

131141100341020 is an abundant number, since it is smaller than the sum of its proper divisors (214911344401124).

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

131141100341020 is a wasteful number, since it uses less digits than its factorization.

131141100341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238992 (or 2238979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131141100341020 its reverse (20143001141131), we get a palindrome (151284101482151).

The spelling of 131141100341020 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three hundred forty-one thousand, twenty".