1001000011000 has 128 divisors (see below), whose sum is σ = 2559605780160. Its totient is φ = 363383808000.

The previous prime is 1001000010977. The next prime is 1001000011019. The reversal of 1001000011000 is 1100001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6446272 + ... + 6599728.

Almost surely, 2^{1001000011000} is an apocalyptic number.

1001000011000 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 1001000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279802890080).

1001000011000 is an abundant number, since it is smaller than the sum of its proper divisors (1558605769160).

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

1001000011000 is a wasteful number, since it uses less digits than its factorization.

1001000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154082 (or 154068 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001000011000 its reverse (1100001001), we get a palindrome (1002100012001).

Subtracting from 1001000011000 its reverse (1100001001), we obtain a palindrome (999900009999).

It can be divided in two parts, 100100001 and 1000, that added together give a palindrome (100101001).

The spelling of 1001000011000 in words is "one trillion, one billion, eleven thousand".