4213133120 has 448 divisors, whose sum is σ = 12977750016. Its totient is φ = 1269596160.

The previous prime is 4213133101. The next prime is 4213133147. The reversal of 4213133120 is 213313124.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4213133092 and 4213133101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50760599 + ... + 50760681.

It is an arithmetic number, because the mean of its divisors is an integer number (28968192).

Almost surely, 2^4213133120 is an apocalyptic number.

4213133120 is a gapful number since it is divisible by the number (40) 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 4213133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488875008).

4213133120 is an abundant number, since it is smaller than the sum of its proper divisors (8764616896).

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

4213133120 is a wasteful number, since it uses less digits than its factorization.

4213133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4213133120 is about 64908.6521197290. The cubic root of 4213133120 is about 1615.1085908190.

Adding to 4213133120 its reverse (213313124), we get a palindrome (4426446244).

The spelling of 4213133120 in words is "four billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".