213042213011420 has 192 divisors, whose sum is σ = 508924635254784. Its totient is φ = 74318152043520.

The previous prime is 213042213011417. The next prime is 213042213011437. The reversal of 213042213011420 is 24110312240312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 213042213011420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2278650194 + ... + 2278743686.

It is an arithmetic number, because the mean of its divisors is an integer number (2650649141952).

Almost surely, 2^{213042213011420} is an apocalyptic number.

213042213011420 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 213042213011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254462317627392).

213042213011420 is an abundant number, since it is smaller than the sum of its proper divisors (295882422243364).

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

213042213011420 is a wasteful number, since it uses less digits than its factorization.

213042213011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98212 (or 98210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 213042213011420 its reverse (24110312240312), we get a palindrome (237152525251732).

The spelling of 213042213011420 in words is "two hundred thirteen trillion, forty-two billion, two hundred thirteen million, eleven thousand, four hundred twenty".