213023100 has 72 divisors (see below), whose sum is σ = 618016000. Its totient is φ = 56652480.

The previous prime is 213023093. The next prime is 213023101. The reversal of 213023100 is 1320312.

It is a happy number.

It is a super-2 number, since 2×213023100² = 90757682267220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213023101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148989 + ... + 150411.

Almost surely, 2^213023100 is an apocalyptic number.

213023100 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 213023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309008000).

213023100 is an abundant number, since it is smaller than the sum of its proper divisors (404992900).

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

213023100 is a wasteful number, since it uses less digits than its factorization.

213023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213023100 is about 14595.3108908307. The cubic root of 213023100 is about 597.2308504572.

Adding to 213023100 its reverse (1320312), we get a palindrome (214343412).

The spelling of 213023100 in words is "two hundred thirteen million, twenty-three thousand, one hundred".