2311011300000 has 576 divisors, whose sum is σ = 8248046341248. Its totient is φ = 563136000000.

The previous prime is 2311011299999. The next prime is 2311011300019. The reversal of 2311011300000 is 31101132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393897067 + ... + 393902933.

It is an arithmetic number, because the mean of its divisors is an integer number (14319524898).

Almost surely, 2^{2311011300000} is an apocalyptic number.

2311011300000 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 2311011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124023170624).

2311011300000 is an abundant number, since it is smaller than the sum of its proper divisors (5937035041248).

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

2311011300000 is a wasteful number, since it uses less digits than its factorization.

2311011300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2311011300000 its reverse (31101132), we get a palindrome (2311042401132).

The spelling of 2311011300000 in words is "two trillion, three hundred eleven billion, eleven million, three hundred thousand".