1000131200 has 96 divisors (see below), whose sum is σ = 2517679260. Its totient is φ = 392437760.

The previous prime is 1000131169. The next prime is 1000131203. The reversal of 1000131200 is 21310001.

It can be written as a sum of positive squares in 6 ways, for example, as 714385984 + 285745216 = 26728^2 + 16904^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1000131203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166652 + ... + 172548.

Almost surely, 2^1000131200 is an apocalyptic number.

1000131200 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 1000131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258839630).

1000131200 is an abundant number, since it is smaller than the sum of its proper divisors (1517548060).

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

1000131200 is an equidigital number, since it uses as much as digits as its factorization.

1000131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1000131200 is about 31624.8509877912. The cubic root of 1000131200 is about 1000.0437314209.

Adding to 1000131200 its reverse (21310001), we get a palindrome (1021441201).

The spelling of 1000131200 in words is "one billion, one hundred thirty-one thousand, two hundred".