20131002000 has 240 divisors, whose sum is σ = 70511491440. Its totient is φ = 5352960000.

The previous prime is 20131001993. The next prime is 20131002049. The reversal of 20131002000 is 20013102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 777740544 + 19353261456 = 27888^2 + 139116^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7216606 + ... + 7219394.

It is an arithmetic number, because the mean of its divisors is an integer number (293797881).

Almost surely, 2^20131002000 is an apocalyptic number.

20131002000 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 20131002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35255745720).

20131002000 is an abundant number, since it is smaller than the sum of its proper divisors (50380489440).

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

20131002000 is a wasteful number, since it uses less digits than its factorization.

20131002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3200 counting only the distinct ones).

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

Adding to 20131002000 its reverse (20013102), we get a palindrome (20151015102).

The spelling of 20131002000 in words is "twenty billion, one hundred thirty-one million, two thousand".