213801120 has 384 divisors, whose sum is σ = 833172480. Its totient is φ = 51508224.

The previous prime is 213801083. The next prime is 213801131. The reversal of 213801120 is 21108312.

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 = 213801093 and 213801102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548937 + ... + 4548983.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^213801120 is an apocalyptic number.

213801120 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 213801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

213801120 is an abundant number, since it is smaller than the sum of its proper divisors (619371360).

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

213801120 is an equidigital number, since it uses as much as digits as its factorization.

213801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 213801120 is about 14621.9396798099. The cubic root of 213801120 is about 597.9570518329.

Adding to 213801120 its reverse (21108312), we get a palindrome (234909432).

It can be divided in two parts, 21380 and 1120, that added together give a square (22500 = 150²).

The spelling of 213801120 in words is "two hundred thirteen million, eight hundred one thousand, one hundred twenty".