2113340411000 has 512 divisors, whose sum is σ = 6229285171200. Its totient is φ = 653286758400.

The previous prime is 2113340410999. The next prime is 2113340411069. The reversal of 2113340411000 is 1140433112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 896621822 + ... + 896624178.

It is an arithmetic number, because the mean of its divisors is an integer number (12166572600).

Almost surely, 2^{2113340411000} is an apocalyptic number.

2113340411000 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 2113340411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114642585600).

2113340411000 is an abundant number, since it is smaller than the sum of its proper divisors (4115944760200).

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

2113340411000 is a wasteful number, since it uses less digits than its factorization.

2113340411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2113340411000 its reverse (1140433112), we get a palindrome (2114480844112).

The spelling of 2113340411000 in words is "two trillion, one hundred thirteen billion, three hundred forty million, four hundred eleven thousand".