213301201120 has 96 divisors (see below), whose sum is σ = 589960034496. Its totient is φ = 71348121600.

The previous prime is 213301201081. The next prime is 213301201121. The reversal of 213301201120 is 21102103312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213301201094 and 213301201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276611 + ... + 2368450.

It is an arithmetic number, because the mean of its divisors is an integer number (6145417026).

Almost surely, 2^213301201120 is an apocalyptic number.

213301201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301201120 is an abundant number, since it is smaller than the sum of its proper divisors (376658833376).

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

213301201120 is a wasteful number, since it uses less digits than its factorization.

213301201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645124 (or 4645116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213301201120 its reverse (21102103312), we get a palindrome (234403304432).

The spelling of 213301201120 in words is "two hundred thirteen billion, three hundred one million, two hundred one thousand, one hundred twenty".