1020033221130 has 320 divisors, whose sum is σ = 3427022573568. Its totient is φ = 211491181440.

The previous prime is 1020033221107. The next prime is 1020033221143. The reversal of 1020033221130 is 311223300201.

1020033221130 is a `hidden beast` number, since 1 + 0 + 200 + 332 + 2 + 1 + 130 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28859649 + ... + 28894971.

Almost surely, 2^{1020033221130} is an apocalyptic number.

1020033221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020033221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713511286784).

1020033221130 is an abundant number, since it is smaller than the sum of its proper divisors (2406989352438).

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

1020033221130 is a wasteful number, since it uses less digits than its factorization.

1020033221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35823 (or 35814 counting only the distinct ones).

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

Adding to 1020033221130 its reverse (311223300201), we get a palindrome (1331256521331).

The spelling of 1020033221130 in words is "one trillion, twenty billion, thirty-three million, two hundred twenty-one thousand, one hundred thirty".