1020133030320 has 240 divisors, whose sum is σ = 3466378450080. Its totient is φ = 268828471296.

The previous prime is 1020133030313. The next prime is 1020133030349. The reversal of 1020133030320 is 230303310201.

1020133030320 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 330 + 3 + 0 + 320 = 666.

1020133030320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1020133030293 and 1020133030302.

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, 158722947 + ... + 158729373.

It is an arithmetic number, because the mean of its divisors is an integer number (14443243542).

Almost surely, 2^{1020133030320} is an apocalyptic number.

1020133030320 is a gapful number since it is divisible by the number (10) 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 1020133030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733189225040).

1020133030320 is an abundant number, since it is smaller than the sum of its proper divisors (2446245419760).

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

1020133030320 is a wasteful number, since it uses less digits than its factorization.

1020133030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1020133030320 its reverse (230303310201), we get a palindrome (1250436340521).

The spelling of 1020133030320 in words is "one trillion, twenty billion, one hundred thirty-three million, thirty thousand, three hundred twenty".