213310002100 has 36 divisors (see below), whose sum is σ = 498489069484. Its totient is φ = 78760615680.

The previous prime is 213310002097. The next prime is 213310002127. The reversal of 213310002100 is 1200013312.

It can be written as a sum of positive squares in 6 ways, for example, as 54118577956 + 159191424144 = 232634^2 + 398988^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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 11 ways as a sum of consecutive naturals, for example, 82041009 + ... + 82043608.

Almost surely, 2^213310002100 is an apocalyptic number.

213310002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213310002100 is an abundant number, since it is smaller than the sum of its proper divisors (285179067384).

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

213310002100 is a wasteful number, since it uses less digits than its factorization.

213310002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164084644 (or 164084637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213310002100 its reverse (1200013312), we get a palindrome (214510015412).

The spelling of 213310002100 in words is "two hundred thirteen billion, three hundred ten million, two thousand, one hundred".