131012900 has 36 divisors (see below), whose sum is σ = 285979092. Its totient is φ = 52095360.

The previous prime is 131012891. The next prime is 131012911. The reversal of 131012900 is 9210131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26646244 + 104366656 = 5162^2 + 10216^2 .

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, 13514 + ... + 21086.

Almost surely, 2^131012900 is an apocalyptic number.

131012900 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 131012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142989546).

131012900 is an abundant number, since it is smaller than the sum of its proper divisors (154966192).

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

131012900 is a wasteful number, since it uses less digits than its factorization.

131012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 131012900 is about 11446.0866675034. The cubic root of 131012900 is about 507.8919779823.

The spelling of 131012900 in words is "one hundred thirty-one million, twelve thousand, nine hundred".