213102322312 has 64 divisors (see below), whose sum is σ = 443532153600. Its totient is φ = 95168562240.

The previous prime is 213102322309. The next prime is 213102322313. The reversal of 213102322312 is 213223201312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (213102322313) 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, 9890383 + ... + 9911905.

It is an arithmetic number, because the mean of its divisors is an integer number (6930189900).

Almost surely, 2^213102322312 is an apocalyptic number.

213102322312 is a gapful number since it is divisible by the number (22) 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 213102322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221766076800).

213102322312 is an abundant number, since it is smaller than the sum of its proper divisors (230429831288).

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

213102322312 is a wasteful number, since it uses less digits than its factorization.

213102322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23506 (or 23502 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213102322312 its reverse (213223201312), we get a palindrome (426325523624).

The spelling of 213102322312 in words is "two hundred thirteen billion, one hundred two million, three hundred twenty-two thousand, three hundred twelve".