213103111022120 has 192 divisors, whose sum is σ = 540416657088000. Its totient is φ = 75531848071680.

The previous prime is 213103111022089. The next prime is 213103111022209. The reversal of 213103111022120 is 21220111301312.

213103111022120 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 2×213103111022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213103111022092 and 213103111022101.

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, 98620646 + ... + 100758314.

It is an arithmetic number, because the mean of its divisors is an integer number (2814670089000).

Almost surely, 2^{213103111022120} is an apocalyptic number.

213103111022120 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 213103111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270208328544000).

213103111022120 is an abundant number, since it is smaller than the sum of its proper divisors (327313546065880).

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

213103111022120 is a wasteful number, since it uses less digits than its factorization.

213103111022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138224 (or 2138209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 213103111022120 its reverse (21220111301312), we get a palindrome (234323222323432).

The spelling of 213103111022120 in words is "two hundred thirteen trillion, one hundred three billion, one hundred eleven million, twenty-two thousand, one hundred twenty".