131030400 has 96 divisors (see below), whose sum is σ = 431613000. Its totient is φ = 34938880.

The previous prime is 131030387. The next prime is 131030411. The reversal of 131030400 is 4030131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 2776 + ... + 16424.

Almost surely, 2^131030400 is an apocalyptic number.

131030400 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 131030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215806500).

131030400 is an abundant number, since it is smaller than the sum of its proper divisors (300582600).

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

131030400 is a wasteful number, since it uses less digits than its factorization.

131030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131030400 is about 11446.8510953886. The cubic root of 131030400 is about 507.9145908036.

Adding to 131030400 its reverse (4030131), we get a palindrome (135060531).

The spelling of 131030400 in words is "one hundred thirty-one million, thirty thousand, four hundred".