1033033113131 has 12 divisors (see below), whose sum is σ = 1090737925200. Its totient is φ = 978238312848.

The previous prime is 1033033113113. The next prime is 1033033113179. The reversal of 1033033113131 is 1313113303301.

It is not a de Polignac number, because 1033033113131 - 2¹⁰ = 1033033112107 is a prime.

It is a super-2 number, since 2×1033033113131² (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 = 1033033113097 and 1033033113106.

It is not an unprimeable number, because it can be changed into a prime (1033033113031) 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 11 ways as a sum of consecutive naturals, for example, 213890 + ... + 1453208.

It is an arithmetic number, because the mean of its divisors is an integer number (90894827100).

Almost surely, 2^{1033033113131} is an apocalyptic number.

1033033113131 is a deficient number, since it is larger than the sum of its proper divisors (57704812069).

1033033113131 is a wasteful number, since it uses less digits than its factorization.

1033033113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241666 (or 1241647 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1033033113131 its reverse (1313113303301), we get a palindrome (2346146416432).

The spelling of 1033033113131 in words is "one trillion, thirty-three billion, thirty-three million, one hundred thirteen thousand, one hundred thirty-one".