1001123031000 has 128 divisors (see below), whose sum is σ = 3139201728000. Its totient is φ = 265624444800.

The previous prime is 1001123030911. The next prime is 1001123031001. The reversal of 1001123031000 is 1303211001.

It is a super-2 number, since 2×1001123031000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001123031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241462 + ... + 1435461.

It is an arithmetic number, because the mean of its divisors is an integer number (24525013500).

Almost surely, 2^{1001123031000} is an apocalyptic number.

1001123031000 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 1001123031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569600864000).

1001123031000 is an abundant number, since it is smaller than the sum of its proper divisors (2138078697000).

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

1001123031000 is a wasteful number, since it uses less digits than its factorization.

1001123031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677146 (or 1677132 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001123031000 its reverse (1303211001), we get a palindrome (1002426242001).

The spelling of 1001123031000 in words is "one trillion, one billion, one hundred twenty-three million, thirty-one thousand".