213422011400 has 96 divisors (see below), whose sum is σ = 535367166600. Its totient is φ = 78655795200.

The previous prime is 213422011367. The next prime is 213422011423. The reversal of 213422011400 is 4110224312.

It can be written as a sum of positive squares in 12 ways, for example, as 1028228356 + 212393783044 = 32066^2 + 460862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330736 + ... + 1482464.

Almost surely, 2^213422011400 is an apocalyptic number.

213422011400 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 213422011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267683583300).

213422011400 is an abundant number, since it is smaller than the sum of its proper divisors (321945155200).

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

213422011400 is a wasteful number, since it uses less digits than its factorization.

213422011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152299 (or 152290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213422011400 its reverse (4110224312), we get a palindrome (217532235712).

The spelling of 213422011400 in words is "two hundred thirteen billion, four hundred twenty-two million, eleven thousand, four hundred".