213121112203120 has 80 divisors (see below), whose sum is σ = 541262959676640. Its totient is φ = 77396748185600.

The previous prime is 213121112203057. The next prime is 213121112203121. The reversal of 213121112203120 is 21302211121312.

It is a happy number.

213121112203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213121112203091 and 213121112203100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121112203121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158451925 + ... + 159791284.

It is an arithmetic number, because the mean of its divisors is an integer number (6765786995958).

Almost surely, 2^{213121112203120} is an apocalyptic number.

213121112203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121112203120 is an abundant number, since it is smaller than the sum of its proper divisors (328141847473520).

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

213121112203120 is a wasteful number, since it uses less digits than its factorization.

213121112203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318243994 (or 318243988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 213121112203120 its reverse (21302211121312), we get a palindrome (234423323324432).

The spelling of 213121112203120 in words is "two hundred thirteen trillion, one hundred twenty-one billion, one hundred twelve million, two hundred three thousand, one hundred twenty".