213020211312 has 240 divisors, whose sum is σ = 640571917440. Its totient is φ = 68449764096.

The previous prime is 213020211307. The next prime is 213020211317. The reversal of 213020211312 is 213112020312.

It is an interprime number because it is at equal distance from previous prime (213020211307) and next prime (213020211317).

It is a super-2 number, since 2×213020211312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213020211317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102265023 + ... + 102267105.

It is an arithmetic number, because the mean of its divisors is an integer number (2669049656).

Almost surely, 2^213020211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213020211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320285958720).

213020211312 is an abundant number, since it is smaller than the sum of its proper divisors (427551706128).

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

213020211312 is a wasteful number, since it uses less digits than its factorization.

213020211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3024 counting only the distinct ones).

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

Adding to 213020211312 its reverse (213112020312), we get a palindrome (426132231624).

The spelling of 213020211312 in words is "two hundred thirteen billion, twenty million, two hundred eleven thousand, three hundred twelve".