213420100400 has 240 divisors, whose sum is σ = 588466335744. Its totient is φ = 73769456640.

The previous prime is 213420100393. The next prime is 213420100409. The reversal of 213420100400 is 4001024312.

It is not an unprimeable number, because it can be changed into a prime (213420100409) 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, 5602217 + ... + 5640183.

Almost surely, 2^213420100400 is an apocalyptic number.

213420100400 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 213420100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294233167872).

213420100400 is an abundant number, since it is smaller than the sum of its proper divisors (375046235344).

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

213420100400 is a wasteful number, since it uses less digits than its factorization.

213420100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38068 (or 38057 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213420100400 its reverse (4001024312), we get a palindrome (217421124712).

The spelling of 213420100400 in words is "two hundred thirteen billion, four hundred twenty million, one hundred thousand, four hundred".