213122203020 has 144 divisors (see below), whose sum is σ = 675118342080. Its totient is φ = 54318071808.

The previous prime is 213122203013. The next prime is 213122203031. The reversal of 213122203020 is 20302221312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213122202984 and 213122203002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316492 + ... + 5356428.

It is an arithmetic number, because the mean of its divisors is an integer number (4688321820).

Almost surely, 2^213122203020 is an apocalyptic number.

213122203020 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 213122203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337559171040).

213122203020 is an abundant number, since it is smaller than the sum of its proper divisors (461996139060).

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

213122203020 is a wasteful number, since it uses less digits than its factorization.

213122203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41264 (or 41259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213122203020 its reverse (20302221312), we get a palindrome (233424424332).

The spelling of 213122203020 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred three thousand, twenty".