1001013333000 has 128 divisors (see below), whose sum is σ = 3123731520000. Its totient is φ = 266888179200.

The previous prime is 1001013332983. The next prime is 1001013333011. The reversal of 1001013333000 is 3333101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18239601 + ... + 18294399.

It is an arithmetic number, because the mean of its divisors is an integer number (24404152500).

Almost surely, 2^{1001013333000} is an apocalyptic number.

1001013333000 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 1001013333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561865760000).

1001013333000 is an abundant number, since it is smaller than the sum of its proper divisors (2122718187000).

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

1001013333000 is a wasteful number, since it uses less digits than its factorization.

1001013333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60912 (or 60898 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1001013333000 its reverse (3333101001), we get a palindrome (1004346434001).

The spelling of 1001013333000 in words is "one trillion, one billion, thirteen million, three hundred thirty-three thousand".