131033300 has 54 divisors (see below), whose sum is σ = 297362478. Its totient is φ = 50114240.

The previous prime is 131033267. The next prime is 131033327. The reversal of 131033300 is 3330131.

It can be written as a sum of positive squares in 3 ways, for example, as 8133904 + 122899396 = 2852^2 + 11086^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51662 + ... + 54138.

Almost surely, 2^131033300 is an apocalyptic number.

131033300 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 131033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148681239).

131033300 is an abundant number, since it is smaller than the sum of its proper divisors (166329178).

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

131033300 is a wasteful number, since it uses less digits than its factorization.

131033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 131033300 is about 11446.9777670790. The cubic root of 131033300 is about 507.9183378767.

Adding to 131033300 its reverse (3330131), we get a palindrome (134363431).

The spelling of 131033300 in words is "one hundred thirty-one million, thirty-three thousand, three hundred".