1031123321 has 32 divisors (see below), whose sum is σ = 1150560288. Its totient is φ = 920125440.

The previous prime is 1031123279. The next prime is 1031123347. The reversal of 1031123321 is 1233211301.

It can be written as a sum of positive squares in 16 ways, for example, as 4818025 + 1026305296 = 2195^2 + 32036^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031123321 - 2¹⁰ = 1031122297 is a prime.

It is a super-2 number, since 2×1031123321² = 2126430606220138082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031123321.

It is not an unprimeable number, because it can be changed into a prime (1031123351) 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 31 ways as a sum of consecutive naturals, for example, 4012025 + ... + 4012281.

It is an arithmetic number, because the mean of its divisors is an integer number (35955009).

Almost surely, 2^1031123321 is an apocalyptic number.

It is an amenable number.

1031123321 is a deficient number, since it is larger than the sum of its proper divisors (119436967).

1031123321 is a wasteful number, since it uses less digits than its factorization.

1031123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1031123321 is about 32111.1089967320. The cubic root of 1031123321 is about 1010.2686345529.

Adding to 1031123321 its reverse (1233211301), we get a palindrome (2264334622).

The spelling of 1031123321 in words is "one billion, thirty-one million, one hundred twenty-three thousand, three hundred twenty-one".