213100201000 has 32 divisors (see below), whose sum is σ = 498654472680. Its totient is φ = 85240080000.

The previous prime is 213100200991. The next prime is 213100201001. The reversal of 213100201000 is 102001312.

213100201000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49109219236 + 163990981764 = 221606^2 + 404958^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (213100201001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106549101 + ... + 106551100.

Almost surely, 2^213100201000 is an apocalyptic number.

213100201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100201000 is an abundant number, since it is smaller than the sum of its proper divisors (285554271680).

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

213100201000 is a wasteful number, since it uses less digits than its factorization.

213100201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213100222 (or 213100208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 213100201000 its reverse (102001312), we get a palindrome (213202202312).

The spelling of 213100201000 in words is "two hundred thirteen billion, one hundred million, two hundred one thousand".