213133404120 has 512 divisors, whose sum is σ = 796077434880. Its totient is φ = 44451348480.

The previous prime is 213133404109. The next prime is 213133404157. The reversal of 213133404120 is 21404331312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 536859762 + ... + 536860158.

It is an arithmetic number, because the mean of its divisors is an integer number (1554838740).

Almost surely, 2^213133404120 is an apocalyptic number.

213133404120 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 213133404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398038717440).

213133404120 is an abundant number, since it is smaller than the sum of its proper divisors (582944030760).

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

213133404120 is a wasteful number, since it uses less digits than its factorization.

213133404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213133404120 its reverse (21404331312), we get a palindrome (234537735432).

The spelling of 213133404120 in words is "two hundred thirteen billion, one hundred thirty-three million, four hundred four thousand, one hundred twenty".