213002403120 has 240 divisors, whose sum is σ = 772089645600. Its totient is φ = 52313554944.

The previous prime is 213002403109. The next prime is 213002403161. The reversal of 213002403120 is 21304200312.

213002403120 is a `hidden beast` number, since 2 + 1 + 300 + 240 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213002403093 and 213002403102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177299 + ... + 4227981.

It is an arithmetic number, because the mean of its divisors is an integer number (3217040190).

Almost surely, 2^213002403120 is an apocalyptic number.

213002403120 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 213002403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386044822800).

213002403120 is an abundant number, since it is smaller than the sum of its proper divisors (559087242480).

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

213002403120 is a wasteful number, since it uses less digits than its factorization.

213002403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51164 (or 51155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213002403120 its reverse (21304200312), we get a palindrome (234306603432).

The spelling of 213002403120 in words is "two hundred thirteen billion, two million, four hundred three thousand, one hundred twenty".