2032113103020 has 1152 divisors, whose sum is σ = 8851441536000. Its totient is φ = 380240179200.

The previous prime is 2032113102997. The next prime is 2032113103021. The reversal of 2032113103020 is 203013112302.

2032113103020 is a `hidden beast` number, since 2 + 0 + 321 + 1 + 310 + 30 + 2 + 0 = 666.

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 = 2032113102984 and 2032113103002.

It is not an unprimeable number, because it can be changed into a prime (2032113103021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155128431 + ... + 155141529.

It is an arithmetic number, because the mean of its divisors is an integer number (7683543000).

Almost surely, 2^{2032113103020} is an apocalyptic number.

2032113103020 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 2032113103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425720768000).

2032113103020 is an abundant number, since it is smaller than the sum of its proper divisors (6819328432980).

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

2032113103020 is a wasteful number, since it uses less digits than its factorization.

2032113103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13196 (or 13181 counting only the distinct ones).

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

Adding to 2032113103020 its reverse (203013112302), we get a palindrome (2235126215322).

The spelling of 2032113103020 in words is "two trillion, thirty-two billion, one hundred thirteen million, one hundred three thousand, twenty".