2331130100 has 144 divisors (see below), whose sum is σ = 5803722288. Its totient is φ = 805109760.

The previous prime is 2331130079. The next prime is 2331130103. The reversal of 2331130100 is 10311332.

2331130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 2295751396 + 35378704 = 47914^2 + 5948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331130103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6917132 + ... + 6917468.

It is an arithmetic number, because the mean of its divisors is an integer number (40303627).

Almost surely, 2^2331130100 is an apocalyptic number.

2331130100 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 2331130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901861144).

2331130100 is an abundant number, since it is smaller than the sum of its proper divisors (3472592188).

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

2331130100 is a wasteful number, since it uses less digits than its factorization.

2331130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2331130100 is about 48281.7781362700. The cubic root of 2331130100 is about 1325.9348049059.

Adding to 2331130100 its reverse (10311332), we get a palindrome (2341441432).

The spelling of 2331130100 in words is "two billion, three hundred thirty-one million, one hundred thirty thousand, one hundred".