1000031112000 has 168 divisors, whose sum is σ = 3577278217032. Its totient is φ = 266674944000.

The previous prime is 1000031111951. The next prime is 1000031112011. The reversal of 1000031112000 is 2111300001.

It can be written as a sum of positive squares in 4 ways, for example, as 447068736 + 999584043264 = 21144^2 + 999792^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6872661 + ... + 7016660.

Almost surely, 2^{1000031112000} is an apocalyptic number.

1000031112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000031112000 is an abundant number, since it is smaller than the sum of its proper divisors (2577247105032).

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

1000031112000 is a wasteful number, since it uses less digits than its factorization.

1000031112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889354 (or 13889331 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000031112000 its reverse (2111300001), we get a palindrome (1002142412001).

The spelling of 1000031112000 in words is "one trillion, thirty-one million, one hundred twelve thousand".