131021616 has 80 divisors (see below), whose sum is σ = 385332480. Its totient is φ = 37973760.

The previous prime is 131021573. The next prime is 131021621. The reversal of 131021616 is 616120131.

It is a junction number, because it is equal to n+sod(n) for n = 131021592 and 131021601.

It is a congruent number.

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, 6750 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (4816656).

Almost surely, 2^131021616 is an apocalyptic number.

131021616 is a gapful number since it is divisible by the number (16) 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 131021616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

131021616 is an abundant number, since it is smaller than the sum of its proper divisors (254310864).

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

131021616 is a wasteful number, since it uses less digits than its factorization.

131021616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131021616 is about 11446.4674026531. The cubic root of 131021616 is about 507.9032407112.

Adding to 131021616 its reverse (616120131), we get a palindrome (747141747).

The spelling of 131021616 in words is "one hundred thirty-one million, twenty-one thousand, six hundred sixteen".