2311132012100 has 144 divisors (see below), whose sum is σ = 5131237579776. Its totient is φ = 903306768000.

The previous prime is 2311132012099. The next prime is 2311132012139. The reversal of 2311132012100 is 12102311132.

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, 1211919347 + ... + 1211921253.

It is an arithmetic number, because the mean of its divisors is an integer number (35633594304).

Almost surely, 2^{2311132012100} is an apocalyptic number.

2311132012100 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 2311132012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565618789888).

2311132012100 is an abundant number, since it is smaller than the sum of its proper divisors (2820105567676).

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

2311132012100 is a wasteful number, since it uses less digits than its factorization.

2311132012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2311132012100 its reverse (12102311132), we get a palindrome (2323234323232).

The spelling of 2311132012100 in words is "two trillion, three hundred eleven billion, one hundred thirty-two million, twelve thousand, one hundred".