213000301032120 has 384 divisors, whose sum is σ = 831422219696640. Its totient is φ = 46268323476480.

The previous prime is 213000301032049. The next prime is 213000301032131. The reversal of 213000301032120 is 21230103000312.

213000301032120 is a `hidden beast` number, since 2 + 1 + 300 + 0 + 30 + 10 + 321 + 2 + 0 = 666.

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 = 213000301032093 and 213000301032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22553826 + ... + 30572465.

It is an arithmetic number, because the mean of its divisors is an integer number (2165162030460).

Almost surely, 2^{213000301032120} is an apocalyptic number.

213000301032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000301032120 is an abundant number, since it is smaller than the sum of its proper divisors (618421918664520).

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

213000301032120 is a wasteful number, since it uses less digits than its factorization.

213000301032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53126395 (or 53126388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213000301032120 its reverse (21230103000312), we get a palindrome (234230404032432).

The spelling of 213000301032120 in words is "two hundred thirteen trillion, three hundred one million, thirty-two thousand, one hundred twenty".