1031001110412 has 576 divisors, whose sum is σ = 3219986689920. Its totient is φ = 253999742976.

The previous prime is 1031001110411. The next prime is 1031001110429. The reversal of 1031001110412 is 2140111001301.

It is a junction number, because it is equal to n+sod(n) for n = 1031001110391 and 1031001110400.

It is not an unprimeable number, because it can be changed into a prime (1031001110411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2764077858 + ... + 2764078230.

It is an arithmetic number, because the mean of its divisors is an integer number (5590254670).

Almost surely, 2^{1031001110412} is an apocalyptic number.

1031001110412 is a gapful number since it is divisible by the number (12) 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 1031001110412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609993344960).

1031001110412 is an abundant number, since it is smaller than the sum of its proper divisors (2188985579508).

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

1031001110412 is a wasteful number, since it uses less digits than its factorization.

1031001110412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1031001110412 its reverse (2140111001301), we get a palindrome (3171112111713).

The spelling of 1031001110412 in words is "one trillion, thirty-one billion, one million, one hundred ten thousand, four hundred twelve".