1032031031104 has 84 divisors (see below), whose sum is σ = 2240610605892. Its totient is φ = 469994680320.

The previous prime is 1032031031099. The next prime is 1032031031107. The reversal of 1032031031104 is 4011301302301.

1032031031104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 279037497600 + 752993533504 = 528240^2 + 867752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032031031107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552042 + ... + 1539094.

Almost surely, 2^{1032031031104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032031031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120305302946).

1032031031104 is an abundant number, since it is smaller than the sum of its proper divisors (1208579574788).

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

1032031031104 is an equidigital number, since it uses as much as digits as its factorization.

1032031031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987144 (or 987103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1032031031104 its reverse (4011301302301), we get a palindrome (5043332333405).

The spelling of 1032031031104 in words is "one trillion, thirty-two billion, thirty-one million, thirty-one thousand, one hundred four".