213042211400 has 96 divisors (see below), whose sum is σ = 511480358400. Its totient is φ = 82439078400.

The previous prime is 213042211399. The next prime is 213042211439. The reversal of 213042211400 is 4112240312.

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, 28906916 + ... + 28914284.

It is an arithmetic number, because the mean of its divisors is an integer number (5327920400).

Almost surely, 2^213042211400 is an apocalyptic number.

213042211400 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 213042211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255740179200).

213042211400 is an abundant number, since it is smaller than the sum of its proper divisors (298438147000).

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

213042211400 is a wasteful number, since it uses less digits than its factorization.

213042211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12070 counting only the distinct ones).

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

Adding to 213042211400 its reverse (4112240312), we get a palindrome (217154451712).

The spelling of 213042211400 in words is "two hundred thirteen billion, forty-two million, two hundred eleven thousand, four hundred".