213011120000 has 160 divisors (see below), whose sum is σ = 606033444720. Its totient is φ = 73032192000.

The previous prime is 213011119991. The next prime is 213011120009. The reversal of 213011120000 is 21110312.

213011120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213011119991) and next prime (213011120009).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213011120009) 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 19 ways as a sum of consecutive naturals, for example, 369812 + ... + 750188.

Almost surely, 2^213011120000 is an apocalyptic number.

213011120000 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 213011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303016722360).

213011120000 is an abundant number, since it is smaller than the sum of its proper divisors (393022324720).

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

213011120000 is an frugal number, since it uses more digits than its factorization.

213011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380418 (or 380391 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 213011120000 its reverse (21110312), we get a palindrome (213032230312).

The spelling of 213011120000 in words is "two hundred thirteen billion, eleven million, one hundred twenty thousand".