213401100 has 72 divisors (see below), whose sum is σ = 673581888. Its totient is φ = 51732800.

The previous prime is 213401099. The next prime is 213401101. The reversal of 213401100 is 1104312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213401099) and next prime (213401101).

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

It is not an unprimeable number, because it can be changed into a prime (213401101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29034 + ... + 35633.

It is an arithmetic number, because the mean of its divisors is an integer number (9355304).

Almost surely, 2^213401100 is an apocalyptic number.

213401100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213401100 is an abundant number, since it is smaller than the sum of its proper divisors (460180788).

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

213401100 is a wasteful number, since it uses less digits than its factorization.

213401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64695 (or 64688 counting only the distinct ones).

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

The square root of 213401100 is about 14608.2545158551. The cubic root of 213401100 is about 597.5838948974.

Adding to 213401100 its reverse (1104312), we get a palindrome (214505412).

The spelling of 213401100 in words is "two hundred thirteen million, four hundred one thousand, one hundred".