20110011300000 has 216 divisors, whose sum is σ = 71480233964412. Its totient is φ = 5362669440000.

The previous prime is 20110011299999. The next prime is 20110011300007. The reversal of 20110011300000 is 311001102.

It can be written as a sum of positive squares in 6 ways, for example, as 1869356155536 + 18240655144464 = 1367244^2 + 4270908^2 .

It is a super-2 number, since 2×20110011300000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20110011300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10272229 + ... + 12072228.

Almost surely, 2^{20110011300000} is an apocalyptic number.

20110011300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110011300000 is an abundant number, since it is smaller than the sum of its proper divisors (51370222664412).

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

20110011300000 is an equidigital number, since it uses as much as digits as its factorization.

20110011300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22344498 (or 22344467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20110011300000 its reverse (311001102), we get a palindrome (20110322301102).

The spelling of 20110011300000 in words is "twenty trillion, one hundred ten billion, eleven million, three hundred thousand".