131021600 has 72 divisors (see below), whose sum is σ = 321854400. Its totient is φ = 52081920.

The previous prime is 131021573. The next prime is 131021621. The reversal of 131021600 is 6120131.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158789 + ... + 159611.

It is an arithmetic number, because the mean of its divisors is an integer number (4470200).

Almost surely, 2^131021600 is an apocalyptic number.

131021600 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 131021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160927200).

131021600 is an abundant number, since it is smaller than the sum of its proper divisors (190832800).

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

131021600 is a wasteful number, since it uses less digits than its factorization.

131021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131021600 is about 11446.4667037475. The cubic root of 131021600 is about 507.9032200366.

Adding to 131021600 its reverse (6120131), we get a palindrome (137141731).

The spelling of 131021600 in words is "one hundred thirty-one million, twenty-one thousand, six hundred".