131033100 has 144 divisors (see below), whose sum is σ = 421223040. Its totient is φ = 31180800.

The previous prime is 131033087. The next prime is 131033137. The reversal of 131033100 is 1330131.

It is a super-2 number, since 2×131033100² = 34339346591220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194364 + ... + 195036.

It is an arithmetic number, because the mean of its divisors is an integer number (2925160).

Almost surely, 2^131033100 is an apocalyptic number.

131033100 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 131033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210611520).

131033100 is an abundant number, since it is smaller than the sum of its proper divisors (290189940).

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

131033100 is a wasteful number, since it uses less digits than its factorization.

131033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131033100 is about 11446.9690311453. The cubic root of 131033100 is about 507.9180794596.

Adding to 131033100 its reverse (1330131), we get a palindrome (132363231).

The spelling of 131033100 in words is "one hundred thirty-one million, thirty-three thousand, one hundred".