213302114120 has 128 divisors (see below), whose sum is σ = 489034022400. Its totient is φ = 83721600000.

The previous prime is 213302114089. The next prime is 213302114141. The reversal of 213302114120 is 21411203312.

213302114120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 213302114092 and 213302114101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284023745 + ... + 284024495.

It is an arithmetic number, because the mean of its divisors is an integer number (3820578300).

Almost surely, 2^213302114120 is an apocalyptic number.

213302114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302114120 is an abundant number, since it is smaller than the sum of its proper divisors (275731908280).

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

213302114120 is a wasteful number, since it uses less digits than its factorization.

213302114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213302114120 its reverse (21411203312), we get a palindrome (234713317432).

The spelling of 213302114120 in words is "two hundred thirteen billion, three hundred two million, one hundred fourteen thousand, one hundred twenty".