213311020020 has 192 divisors, whose sum is σ = 725855510016. Its totient is φ = 45691453440.

The previous prime is 213311019983. The next prime is 213311020049. The reversal of 213311020020 is 20020113312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599510 + ... + 1727730.

It is an arithmetic number, because the mean of its divisors is an integer number (3780497448).

Almost surely, 2^213311020020 is an apocalyptic number.

213311020020 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 213311020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362927755008).

213311020020 is an abundant number, since it is smaller than the sum of its proper divisors (512544489996).

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

213311020020 is a wasteful number, since it uses less digits than its factorization.

213311020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128490 (or 128488 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213311020020 its reverse (20020113312), we get a palindrome (233331133332).

The spelling of 213311020020 in words is "two hundred thirteen billion, three hundred eleven million, twenty thousand, twenty".