213100011220000 has 60 divisors (see below), whose sum is σ = 524257992652086. Its totient is φ = 85240004480000.

The previous prime is 213100011219989. The next prime is 213100011220003. The reversal of 213100011220000 is 22110001312.

It can be written as a sum of positive squares in 5 ways, for example, as 23081836574736 + 190018174645264 = 4804356^2 + 13784708^2 .

It is a super-2 number, since 2×213100011220000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213100011220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5327480281 + ... + 5327520280.

Almost surely, 2^{213100011220000} is an apocalyptic number.

213100011220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100011220000 is an abundant number, since it is smaller than the sum of its proper divisors (311157981432086).

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

213100011220000 is an equidigital number, since it uses as much as digits as its factorization.

213100011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655000591 (or 10655000568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213100011220000 its reverse (22110001312), we get a palindrome (213122121221312).

The spelling of 213100011220000 in words is "two hundred thirteen trillion, one hundred billion, eleven million, two hundred twenty thousand".