213001100400 has 120 divisors (see below), whose sum is σ = 744342073344. Its totient is φ = 51636627200.

The previous prime is 213001100393. The next prime is 213001100423. The reversal of 213001100400 is 4001100312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×213001100400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 8055024 + ... + 8081423.

Almost surely, 2^213001100400 is an apocalyptic number.

213001100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001100400 is an abundant number, since it is smaller than the sum of its proper divisors (531340972944).

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

213001100400 is a wasteful number, since it uses less digits than its factorization.

213001100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136479 (or 16136468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213001100400 its reverse (4001100312), we get a palindrome (217002200712).

The spelling of 213001100400 in words is "two hundred thirteen billion, one million, one hundred thousand, four hundred".