1000032113024 has 128 divisors (see below), whose sum is σ = 2431107233280. Its totient is φ = 400416952320.

The previous prime is 1000032112967. The next prime is 1000032113057. The reversal of 1000032113024 is 4203112300001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1000032112993 and 1000032113011.

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 15 ways as a sum of consecutive naturals, for example, 321884 + ... + 1450404.

It is an arithmetic number, because the mean of its divisors is an integer number (18993025260).

Almost surely, 2^{1000032113024} is an apocalyptic number.

1000032113024 is a gapful number since it is divisible by the number (14) 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 1000032113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215553616640).

1000032113024 is an abundant number, since it is smaller than the sum of its proper divisors (1431075120256).

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

1000032113024 is a wasteful number, since it uses less digits than its factorization.

1000032113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128608 (or 1128596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1000032113024 its reverse (4203112300001), we get a palindrome (5203144413025).

The spelling of 1000032113024 in words is "one trillion, thirty-two million, one hundred thirteen thousand, twenty-four".