213313120400 has 120 divisors (see below), whose sum is σ = 537690847488. Its totient is φ = 81218880000.

The previous prime is 213313120379. The next prime is 213313120409. The reversal of 213313120400 is 4021313312.

It is a super-3 number, since 3×213313120400³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (213313120409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615395 + ... + 897405.

Almost surely, 2^213313120400 is an apocalyptic number.

213313120400 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 213313120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268845423744).

213313120400 is an abundant number, since it is smaller than the sum of its proper divisors (324377727088).

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

213313120400 is a wasteful number, since it uses less digits than its factorization.

213313120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282121 (or 282110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213313120400 its reverse (4021313312), we get a palindrome (217334433712).

The spelling of 213313120400 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred twenty thousand, four hundred".