213102013120 has 112 divisors (see below), whose sum is σ = 526027802400. Its totient is φ = 82132090880.

The previous prime is 213102013081. The next prime is 213102013121. The reversal of 213102013120 is 21310201312.

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 = 213102013094 and 213102013103.

It is not an unprimeable number, because it can be changed into a prime (213102013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4533096 + ... + 4579864.

Almost surely, 2^213102013120 is an apocalyptic number.

213102013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213102013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263013901200).

213102013120 is an abundant number, since it is smaller than the sum of its proper divisors (312925789280).

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

213102013120 is a wasteful number, since it uses less digits than its factorization.

213102013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47306 (or 47296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213102013120 its reverse (21310201312), we get a palindrome (234412214432).

The spelling of 213102013120 in words is "two hundred thirteen billion, one hundred two million, thirteen thousand, one hundred twenty".