213303020000 has 240 divisors, whose sum is σ = 601665305472. Its totient is φ = 72895680000.

The previous prime is 213303019997. The next prime is 213303020017. The reversal of 213303020000 is 20303312.

213303020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213303020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 46337699 + ... + 46342301.

Almost surely, 2^213303020000 is an apocalyptic number.

213303020000 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 213303020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300832652736).

213303020000 is an abundant number, since it is smaller than the sum of its proper divisors (388362285472).

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

213303020000 is an equidigital number, since it uses as much as digits as its factorization.

213303020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 213303020000 its reverse (20303312), we get a palindrome (213323323312).

The spelling of 213303020000 in words is "two hundred thirteen billion, three hundred three million, twenty thousand".