2111313000 has 128 divisors (see below), whose sum is σ = 6603891840. Its totient is φ = 561600000.

The previous prime is 2111312993. The next prime is 2111313007. The reversal of 2111313000 is 3131112.

It is an interprime number because it is at equal distance from previous prime (2111312993) and next prime (2111313007).

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

It is not an unprimeable number, because it can be changed into a prime (2111313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802415 + ... + 1803585.

It is an arithmetic number, because the mean of its divisors is an integer number (51592905).

Almost surely, 2^2111313000 is an apocalyptic number.

2111313000 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 2111313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301945920).

2111313000 is an abundant number, since it is smaller than the sum of its proper divisors (4492578840).

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

2111313000 is a wasteful number, since it uses less digits than its factorization.

2111313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

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

The square root of 2111313000 is about 45949.0261050221. The cubic root of 2111313000 is about 1282.8746022599.

Adding to 2111313000 its reverse (3131112), we get a palindrome (2114444112).

The spelling of 2111313000 in words is "two billion, one hundred eleven million, three hundred thirteen thousand".