131116020 has 96 divisors (see below), whose sum is σ = 421521408. Its totient is φ = 29830272.

The previous prime is 131116001. The next prime is 131116021. The reversal of 131116020 is 20611131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131116021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109867 + ... + 111053.

It is an arithmetic number, because the mean of its divisors is an integer number (4390848).

Almost surely, 2^131116020 is an apocalyptic number.

131116020 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 131116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704).

131116020 is an abundant number, since it is smaller than the sum of its proper divisors (290405388).

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

131116020 is a wasteful number, since it uses less digits than its factorization.

131116020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 131116020 is about 11450.5903777928. The cubic root of 131116020 is about 508.0251966340.

Adding to 131116020 its reverse (20611131), we get a palindrome (151727151).

The spelling of 131116020 in words is "one hundred thirty-one million, one hundred sixteen thousand, twenty".