131011142331420 has 288 divisors, whose sum is σ = 428827468410432. Its totient is φ = 32184288129024.

The previous prime is 131011142331353. The next prime is 131011142331431. The reversal of 131011142331420 is 24133241110131.

131011142331420 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 1 + 1 + 4 + 233 + 1 + 420 = 666.

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, 9688016779 + ... + 9688030301.

It is an arithmetic number, because the mean of its divisors is an integer number (1488984265314).

Almost surely, 2^{131011142331420} is an apocalyptic number.

131011142331420 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 131011142331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214413734205216).

131011142331420 is an abundant number, since it is smaller than the sum of its proper divisors (297816326079012).

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

131011142331420 is a wasteful number, since it uses less digits than its factorization.

131011142331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21541 (or 21536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131011142331420 its reverse (24133241110131), we get a palindrome (155144383441551).

The spelling of 131011142331420 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, three hundred thirty-one thousand, four hundred twenty".