1013333232000 has 512 divisors, whose sum is σ = 3551558400000. Its totient is φ = 254874009600.

The previous prime is 1013333231971. The next prime is 1013333232001. The reversal of 1013333232000 is 2323333101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013333232001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217965676 + ... + 217970324.

It is an arithmetic number, because the mean of its divisors is an integer number (6936637500).

Almost surely, 2^{1013333232000} is an apocalyptic number.

1013333232000 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 1013333232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200000).

1013333232000 is an abundant number, since it is smaller than the sum of its proper divisors (2538225168000).

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

1013333232000 is a wasteful number, since it uses less digits than its factorization.

1013333232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1013333232000 its reverse (2323333101), we get a palindrome (1015656565101).

It can be divided in two parts, 101333 and 3232000, that added together give a palindrome (3333333).

The spelling of 1013333232000 in words is "one trillion, thirteen billion, three hundred thirty-three million, two hundred thirty-two thousand".