213121111120 has 40 divisors (see below), whose sum is σ = 504855774216. Its totient is φ = 83639981568.

The previous prime is 213121111097. The next prime is 213121111171. The reversal of 213121111120 is 21111121312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20923043904 + 192198067216 = 144648^2 + 438404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 213121111094 and 213121111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25127967 + ... + 25136446.

Almost surely, 2^213121111120 is an apocalyptic number.

213121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121111120 is an abundant number, since it is smaller than the sum of its proper divisors (291734663096).

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

213121111120 is a wasteful number, since it uses less digits than its factorization.

213121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50264479 (or 50264473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 213121111120 its reverse (21111121312), we get a palindrome (234232232432).

The spelling of 213121111120 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".