213111011120 has 160 divisors (see below), whose sum is σ = 575898854400. Its totient is φ = 71828241408.

The previous prime is 213111011107. The next prime is 213111011123. The reversal of 213111011120 is 21110111312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213111011095 and 213111011104.

It is not an unprimeable number, because it can be changed into a prime (213111011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19092101 + ... + 19103259.

It is an arithmetic number, because the mean of its divisors is an integer number (3599367840).

Almost surely, 2^213111011120 is an apocalyptic number.

213111011120 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 213111011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287949427200).

213111011120 is an abundant number, since it is smaller than the sum of its proper divisors (362787843280).

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

213111011120 is a wasteful number, since it uses less digits than its factorization.

213111011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11755 (or 11749 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 213111011120 its reverse (21110111312), we get a palindrome (234221122432).

The spelling of 213111011120 in words is "two hundred thirteen billion, one hundred eleven million, eleven thousand, one hundred twenty".