200131002000 has 240 divisors, whose sum is σ = 717884914032. Its totient is φ = 51925708800.

The previous prime is 200131001929. The next prime is 200131002013. The reversal of 200131002000 is 200131002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15647007744 + 184483994256 = 125088^2 + 429516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 515752 + ... + 816248.

Almost surely, 2^200131002000 is an apocalyptic number.

200131002000 is a gapful number since it is divisible by the number (20) 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 200131002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358942457016).

200131002000 is an abundant number, since it is smaller than the sum of its proper divisors (517753912032).

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

200131002000 is a wasteful number, since it uses less digits than its factorization.

200131002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300563 (or 300544 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 200131002000 its reverse (200131002), we get a palindrome (200331133002).

200131002000 divided by its reverse (200131002) gives a cube (1000 = 10³).

The spelling of 200131002000 in words is "two hundred billion, one hundred thirty-one million, two thousand".