213113310123000 has 384 divisors, whose sum is σ = 783261650995200. Its totient is φ = 48095008416000.

The previous prime is 213113310122857. The next prime is 213113310123023. The reversal of 213113310123000 is 321013311312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2437365 + ... + 20788635.

It is an arithmetic number, because the mean of its divisors is an integer number (2039743882800).

Almost surely, 2^{213113310123000} is an apocalyptic number.

213113310123000 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 213113310123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391630825497600).

213113310123000 is an abundant number, since it is smaller than the sum of its proper divisors (570148340872200).

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

213113310123000 is a wasteful number, since it uses less digits than its factorization.

213113310123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18351388 (or 18351367 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 213113310123000 its reverse (321013311312), we get a palindrome (213434323434312).

The spelling of 213113310123000 in words is "two hundred thirteen trillion, one hundred thirteen billion, three hundred ten million, one hundred twenty-three thousand".