1031113040 has 80 divisors (see below), whose sum is σ = 2487229200. Its totient is φ = 397209600.

The previous prime is 1031113037. The next prime is 1031113079. The reversal of 1031113040 is 403111301.

1031113040 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 8 ways, for example, as 8904256 + 1022208784 = 2984^2 + 31972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297236 + ... + 300684.

It is an arithmetic number, because the mean of its divisors is an integer number (31090365).

Almost surely, 2^1031113040 is an apocalyptic number.

1031113040 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 1031113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243614600).

1031113040 is an abundant number, since it is smaller than the sum of its proper divisors (1456116160).

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

1031113040 is a wasteful number, since it uses less digits than its factorization.

1031113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1031113040 is about 32110.9489115473. The cubic root of 1031113040 is about 1010.2652768535.

Adding to 1031113040 its reverse (403111301), we get a palindrome (1434224341).

The spelling of 1031113040 in words is "one billion, thirty-one million, one hundred thirteen thousand, forty".