213010021020120 has 256 divisors, whose sum is σ = 644557093488000. Its totient is φ = 56313765789696.

The previous prime is 213010021020113. The next prime is 213010021020169. The reversal of 213010021020120 is 21020120010312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213010021020120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12887040016 + ... + 12887056544.

Almost surely, 2^{213010021020120} is an apocalyptic number.

213010021020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213010021020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322278546744000).

213010021020120 is an abundant number, since it is smaller than the sum of its proper divisors (431547072467880).

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

213010021020120 is a wasteful number, since it uses less digits than its factorization.

213010021020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 18738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213010021020120 its reverse (21020120010312), we get a palindrome (234030141030432).

The spelling of 213010021020120 in words is "two hundred thirteen trillion, ten billion, twenty-one million, twenty thousand, one hundred twenty".