131333100 has 72 divisors (see below), whose sum is σ = 381465168. Its totient is φ = 34886400.

The previous prime is 131333089. The next prime is 131333131. The reversal of 131333100 is 1333131.

It is a super-2 number, since 2×131333100² = 34496766311220000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131333100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94410 + ... + 95790.

Almost surely, 2^131333100 is an apocalyptic number.

131333100 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 131333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190732584).

131333100 is an abundant number, since it is smaller than the sum of its proper divisors (250132068).

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

131333100 is a wasteful number, since it uses less digits than its factorization.

131333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 131333100 is about 11460.0654448393. The cubic root of 131333100 is about 508.3054097952.

Adding to 131333100 its reverse (1333131), we get a palindrome (132666231).

The spelling of 131333100 in words is "one hundred thirty-one million, three hundred thirty-three thousand, one hundred".