2131012000 has 192 divisors, whose sum is σ = 5706215424. Its totient is φ = 777446400.

The previous prime is 2131011991. The next prime is 2131012001. The reversal of 2131012000 is 2101312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2131012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5563809 + ... + 5564191.

It is an arithmetic number, because the mean of its divisors is an integer number (29719872).

Almost surely, 2^2131012000 is an apocalyptic number.

2131012000 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 2131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853107712).

2131012000 is an abundant number, since it is smaller than the sum of its proper divisors (3575203424).

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

2131012000 is a wasteful number, since it uses less digits than its factorization.

2131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2131012000 is about 46162.8855250622. The cubic root of 2131012000 is about 1286.8520886214.

Adding to 2131012000 its reverse (2101312), we get a palindrome (2133113312).

The spelling of 2131012000 in words is "two billion, one hundred thirty-one million, twelve thousand".