1033031032133 has 16 divisors (see below), whose sum is σ = 1059432160752. Its totient is φ = 1006938240000.

The previous prime is 1033031032073. The next prime is 1033031032147. The reversal of 1033031032133 is 3312301303301.

It can be written as a sum of positive squares in 8 ways, for example, as 298516898689 + 734514133444 = 546367^2 + 857038^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033031032133 - 2³⁸ = 758153125189 is a prime.

It is a super-2 number, since 2×1033031032133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1033031032099 and 1033031032108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033031032183) 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 15 ways as a sum of consecutive naturals, for example, 74306483 + ... + 74320383.

It is an arithmetic number, because the mean of its divisors is an integer number (66214510047).

Almost surely, 2^{1033031032133} is an apocalyptic number.

It is an amenable number.

1033031032133 is a deficient number, since it is larger than the sum of its proper divisors (26401128619).

1033031032133 is a wasteful number, since it uses less digits than its factorization.

1033031032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24856.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1033031032133 its reverse (3312301303301), we get a palindrome (4345332335434).

The spelling of 1033031032133 in words is "one trillion, thirty-three billion, thirty-one million, thirty-two thousand, one hundred thirty-three".