213100034400 has 216 divisors, whose sum is σ = 819757391544. Its totient is φ = 51660595200.

The previous prime is 213100034353. The next prime is 213100034423. The reversal of 213100034400 is 4430001312.

213100034400 is a `hidden beast` number, since 213 + 10 + 0 + 0 + 3 + 440 + 0 = 666.

It is a super-2 number, since 2×213100034400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266129 + ... + 1424528.

It is an arithmetic number, because the mean of its divisors is an integer number (3795173109).

Almost surely, 2^213100034400 is an apocalyptic number.

213100034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100034400 is an abundant number, since it is smaller than the sum of its proper divisors (606657357144).

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

213100034400 is a wasteful number, since it uses less digits than its factorization.

213100034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690694 (or 2690678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213100034400 its reverse (4430001312), we get a palindrome (217530035712).

The spelling of 213100034400 in words is "two hundred thirteen billion, one hundred million, thirty-four thousand, four hundred".