213001021230120 has 48 divisors (see below), whose sum is σ = 692253318999060. Its totient is φ = 56800272327936.

The previous prime is 213001021230103. The next prime is 213001021230163. The reversal of 213001021230120 is 21032120100312.

213001021230120 is a `hidden beast` number, since 2 + 1 + 300 + 1 + 0 + 212 + 30 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 172870798065156 + 40130223164964 = 13148034^2 + 6334842^2 .

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 = 213001021230093 and 213001021230102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295834751349 + ... + 295834752068.

Almost surely, 2^{213001021230120} is an apocalyptic number.

213001021230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001021230120 is an abundant number, since it is smaller than the sum of its proper divisors (479252297768940).

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

213001021230120 is a wasteful number, since it uses less digits than its factorization.

213001021230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591669503434 (or 591669503427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213001021230120 its reverse (21032120100312), we get a palindrome (234033141330432).

The spelling of 213001021230120 in words is "two hundred thirteen trillion, one billion, twenty-one million, two hundred thirty thousand, one hundred twenty".