213023222113100 has 144 divisors (see below), whose sum is σ = 531390829310208. Its totient is φ = 72608959484160.

The previous prime is 213023222113099. The next prime is 213023222113109. The reversal of 213023222113100 is 1311222320312.

It is a super-2 number, since 2×213023222113100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213023222113109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843931939 + ... + 1844047461.

It is an arithmetic number, because the mean of its divisors is an integer number (3690214092432).

Almost surely, 2^{213023222113100} is an apocalyptic number.

213023222113100 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 213023222113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265695414655104).

213023222113100 is an abundant number, since it is smaller than the sum of its proper divisors (318367607197108).

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

213023222113100 is a wasteful number, since it uses less digits than its factorization.

213023222113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130944 (or 130937 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213023222113100 its reverse (1311222320312), we get a palindrome (214334444433412).

The spelling of 213023222113100 in words is "two hundred thirteen trillion, twenty-three billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred".