2013002232120 has 192 divisors, whose sum is σ = 7139542681440. Its totient is φ = 487827225600.

The previous prime is 2013002232113. The next prime is 2013002232149. The reversal of 2013002232120 is 212322003102.

2013002232120 is a `hidden beast` number, since 2 + 0 + 1 + 300 + 22 + 321 + 20 = 666.

It is a super-4 number, since 4×2013002232120⁴ (a number of 50 digits) contains 4444 as substring.

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 = 2013002232093 and 2013002232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11240722 + ... + 11418398.

Almost surely, 2^{2013002232120} is an apocalyptic number.

2013002232120 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 2013002232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569771340720).

2013002232120 is an abundant number, since it is smaller than the sum of its proper divisors (5126540449320).

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

2013002232120 is a wasteful number, since it uses less digits than its factorization.

2013002232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180566 (or 180559 counting only the distinct ones).

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

Adding to 2013002232120 its reverse (212322003102), we get a palindrome (2225324235222).

The spelling of 2013002232120 in words is "two trillion, thirteen billion, two million, two hundred thirty-two thousand, one hundred twenty".