213100303120 has 40 divisors (see below), whose sum is σ = 502436502720. Its totient is φ = 84039553920.

The previous prime is 213100303111. The next prime is 213100303127. The reversal of 213100303120 is 21303001312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×213100303120³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213100303094 and 213100303103.

It is not an unprimeable number, because it can be changed into a prime (213100303127) 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, 18753150 + ... + 18764509.

It is an arithmetic number, because the mean of its divisors is an integer number (12560912568).

Almost surely, 2^213100303120 is an apocalyptic number.

213100303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100303120 is an abundant number, since it is smaller than the sum of its proper divisors (289336199600).

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

213100303120 is a wasteful number, since it uses less digits than its factorization.

213100303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37517743 (or 37517737 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213100303120 its reverse (21303001312), we get a palindrome (234403304432).

The spelling of 213100303120 in words is "two hundred thirteen billion, one hundred million, three hundred three thousand, one hundred twenty".