213100333323120 has 120 divisors (see below), whose sum is σ = 715681180053216. Its totient is φ = 56825228818944.

The previous prime is 213100333323109. The next prime is 213100333323149. The reversal of 213100333323120 is 21323333001312.

213100333323120 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 0 + 333 + 323 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22968669 + ... + 30883011.

Almost surely, 2^{213100333323120} is an apocalyptic number.

213100333323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100333323120 is an abundant number, since it is smaller than the sum of its proper divisors (502580846730096).

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

213100333323120 is a wasteful number, since it uses less digits than its factorization.

213100333323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951759 (or 7951750 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213100333323120 its reverse (21323333001312), we get a palindrome (234423666324432).

The spelling of 213100333323120 in words is "two hundred thirteen trillion, one hundred billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".