131020314240 has 128 divisors (see below), whose sum is σ = 418467240000. Its totient is φ = 34868477952.

The previous prime is 131020314221. The next prime is 131020314241. The reversal of 131020314240 is 42413020131.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (131020314241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889704 + ... + 1026456.

Almost surely, 2^131020314240 is an apocalyptic number.

131020314240 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 131020314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209233620000).

131020314240 is an abundant number, since it is smaller than the sum of its proper divisors (287446925760).

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

131020314240 is a wasteful number, since it uses less digits than its factorization.

131020314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137274 (or 137262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131020314240 its reverse (42413020131), we get a palindrome (173433334371).

The spelling of 131020314240 in words is "one hundred thirty-one billion, twenty million, three hundred fourteen thousand, two hundred forty".