131013140341020 has 288 divisors, whose sum is σ = 430020129413952. Its totient is φ = 29715050115072.

The previous prime is 131013140340997. The next prime is 131013140341037. The reversal of 131013140341020 is 20143041310131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997620402 + ... + 997751718.

It is an arithmetic number, because the mean of its divisors is an integer number (1493125449354).

Almost surely, 2^{131013140341020} is an apocalyptic number.

131013140341020 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 131013140341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215010064706976).

131013140341020 is an abundant number, since it is smaller than the sum of its proper divisors (299006989072932).

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

131013140341020 is a wasteful number, since it uses less digits than its factorization.

131013140341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133957 (or 133948 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131013140341020 its reverse (20143041310131), we get a palindrome (151156181651151).

The spelling of 131013140341020 in words is "one hundred thirty-one trillion, thirteen billion, one hundred forty million, three hundred forty-one thousand, twenty".