131032420411424 has 96 divisors (see below), whose sum is σ = 298589136814080. Its totient is φ = 55439545045248.

The previous prime is 131032420411397. The next prime is 131032420411463. The reversal of 131032420411424 is 424114024230131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155428289 + ... + 156269055.

It is an arithmetic number, because the mean of its divisors is an integer number (3110303508480).

Almost surely, 2^{131032420411424} is an apocalyptic number.

131032420411424 is a gapful number since it is divisible by the number (14) 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 131032420411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149294568407040).

131032420411424 is an abundant number, since it is smaller than the sum of its proper divisors (167556716402656).

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

131032420411424 is an equidigital number, since it uses as much as digits as its factorization.

131032420411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849670 (or 849662 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131032420411424 its reverse (424114024230131), we get a palindrome (555146444641555).

The spelling of 131032420411424 in words is "one hundred thirty-one trillion, thirty-two billion, four hundred twenty million, four hundred eleven thousand, four hundred twenty-four".