213201312120 has 96 divisors (see below), whose sum is σ = 693934628400. Its totient is φ = 56769140736.

The previous prime is 213201312043. The next prime is 213201312127. The reversal of 213201312120 is 21213102312.

213201312120 is a `hidden beast` number, since 2 + 1 + 320 + 131 + 212 + 0 = 666.

213201312120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 213201312093 and 213201312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213201312127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197710 + ... + 682269.

Almost surely, 2^213201312120 is an apocalyptic number.

213201312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213201312120 is an abundant number, since it is smaller than the sum of its proper divisors (480733316280).

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

213201312120 is a wasteful number, since it uses less digits than its factorization.

213201312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880669 (or 880662 counting only the distinct ones).

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

Adding to 213201312120 its reverse (21213102312), we get a palindrome (234414414432).

The spelling of 213201312120 in words is "two hundred thirteen billion, two hundred one million, three hundred twelve thousand, one hundred twenty".