1020013332444 has 96 divisors (see below), whose sum is σ = 2695342003200. Its totient is φ = 333513552960.

The previous prime is 1020013332433. The next prime is 1020013332479. The reversal of 1020013332444 is 4442333100201.

1020013332444 is a `hidden beast` number, since 1 + 0 + 200 + 13 + 3 + 3 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1172977 + ... + 1848215.

It is an arithmetic number, because the mean of its divisors is an integer number (28076479200).

Almost surely, 2^{1020013332444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020013332444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347671001600).

1020013332444 is an abundant number, since it is smaller than the sum of its proper divisors (1675328670756).

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

1020013332444 is a wasteful number, since it uses less digits than its factorization.

1020013332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675520 (or 675512 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1020013332444 its reverse (4442333100201), we get a palindrome (5462346432645).

The spelling of 1020013332444 in words is "one trillion, twenty billion, thirteen million, three hundred thirty-two thousand, four hundred forty-four".