213311011020 has 384 divisors, whose sum is σ = 640385679360. Its totient is φ = 52986286080.

The previous prime is 213311010971. The next prime is 213311011031. The reversal of 213311011020 is 20110113312.

It is a happy number.

213311011020 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 2×213311011020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 1358668782 + ... + 1358668938.

It is an arithmetic number, because the mean of its divisors is an integer number (1667671040).

Almost surely, 2^213311011020 is an apocalyptic number.

213311011020 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 213311011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320192839680).

213311011020 is an abundant number, since it is smaller than the sum of its proper divisors (427074668340).

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

213311011020 is a wasteful number, since it uses less digits than its factorization.

213311011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 213311011020 its reverse (20110113312), we get a palindrome (233421124332).

The spelling of 213311011020 in words is "two hundred thirteen billion, three hundred eleven million, eleven thousand, twenty".