2113201330020 has 288 divisors, whose sum is σ = 7429423921920. Its totient is φ = 481257262080.

The previous prime is 2113201330003. The next prime is 2113201330021. The reversal of 2113201330020 is 200331023112.

2113201330020 is a `hidden beast` number, since 2 + 11 + 320 + 1 + 330 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×2113201330020² (a number of 25 digits) contains 22 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 = 2113201329975 and 2113201330002.

It is not an unprimeable number, because it can be changed into a prime (2113201330021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627209 + ... + 2621871.

It is an arithmetic number, because the mean of its divisors is an integer number (25796610840).

Almost surely, 2^{2113201330020} is an apocalyptic number.

2113201330020 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 2113201330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714711960960).

2113201330020 is an abundant number, since it is smaller than the sum of its proper divisors (5316222591900).

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

2113201330020 is a wasteful number, since it uses less digits than its factorization.

2113201330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994755 (or 994750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2113201330020 its reverse (200331023112), we get a palindrome (2313532353132).

The spelling of 2113201330020 in words is "two trillion, one hundred thirteen billion, two hundred one million, three hundred thirty thousand, twenty".