213402121400 has 384 divisors, whose sum is σ = 583729305600. Its totient is φ = 71850240000.

The previous prime is 213402121357. The next prime is 213402121409. The reversal of 213402121400 is 4121204312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213402121409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506893190 + ... + 506893610.

It is an arithmetic number, because the mean of its divisors is an integer number (1520128400).

Almost surely, 2^213402121400 is an apocalyptic number.

213402121400 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 213402121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291864652800).

213402121400 is an abundant number, since it is smaller than the sum of its proper divisors (370327184200).

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

213402121400 is a wasteful number, since it uses less digits than its factorization.

213402121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

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

Adding to 213402121400 its reverse (4121204312), we get a palindrome (217523325712).

The spelling of 213402121400 in words is "two hundred thirteen billion, four hundred two million, one hundred twenty-one thousand, four hundred".