1020233303120 has 40 divisors (see below), whose sum is σ = 2372728437000. Its totient is φ = 407975298560.

The previous prime is 1020233303113. The next prime is 1020233303143. The reversal of 1020233303120 is 213033320201.

It can be written as a sum of positive squares in 4 ways, for example, as 2483228224 + 1017750074896 = 49832^2 + 1008836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1020233303092 and 1020233303101.

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 7 ways as a sum of consecutive naturals, for example, 1565495 + ... + 2119254.

It is an arithmetic number, because the mean of its divisors is an integer number (59318210925).

Almost surely, 2^{1020233303120} is an apocalyptic number.

1020233303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020233303120 is an abundant number, since it is smaller than the sum of its proper divisors (1352495133880).

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

1020233303120 is a wasteful number, since it uses less digits than its factorization.

1020233303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688223 (or 3688217 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1020233303120 its reverse (213033320201), we get a palindrome (1233266623321).

The spelling of 1020233303120 in words is "one trillion, twenty billion, two hundred thirty-three million, three hundred three thousand, one hundred twenty".