2131322000 has 80 divisors (see below), whose sum is σ = 5169161712. Its totient is φ = 849945600.

The previous prime is 2131321999. The next prime is 2131322003. The reversal of 2131322000 is 2231312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 481012624 + 1650309376 = 21932^2 + 40624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2131322003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744572 + ... + 747428.

Almost surely, 2^2131322000 is an apocalyptic number.

2131322000 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 2131322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584580856).

2131322000 is an abundant number, since it is smaller than the sum of its proper divisors (3037839712).

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

2131322000 is a wasteful number, since it uses less digits than its factorization.

2131322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2131322000 is about 46166.2430786825. The cubic root of 2131322000 is about 1286.9144853927.

Adding to 2131322000 its reverse (2231312), we get a palindrome (2133553312).

The spelling of 2131322000 in words is "two billion, one hundred thirty-one million, three hundred twenty-two thousand".