20011310000 has 200 divisors, whose sum is σ = 53370728400. Its totient is φ = 7205760000.

The previous prime is 20011309993. The next prime is 20011310009. The reversal of 20011310000 is 1311002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×20011310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20011310000.

It is not an unprimeable number, because it can be changed into a prime (20011310009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11989166 + ... + 11990834.

It is an arithmetic number, because the mean of its divisors is an integer number (266853642).

Almost surely, 2^20011310000 is an apocalyptic number.

20011310000 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 20011310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685364200).

20011310000 is an abundant number, since it is smaller than the sum of its proper divisors (33359418400).

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

20011310000 is a wasteful number, since it uses less digits than its factorization.

20011310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 20011310000 its reverse (1311002), we get a palindrome (20012621002).

The spelling of 20011310000 in words is "twenty billion, eleven million, three hundred ten thousand".