1013311332033 has 128 divisors (see below), whose sum is σ = 1822505287680. Its totient is φ = 483642593280.

The previous prime is 1013311331999. The next prime is 1013311332043. The reversal of 1013311332033 is 3302331133101.

It is not a de Polignac number, because 1013311332033 - 2⁸ = 1013311331777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013311331994 and 1013311332012.

It is not an unprimeable number, because it can be changed into a prime (1013311332043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824500063 + ... + 824501291.

It is an arithmetic number, because the mean of its divisors is an integer number (14238322560).

Almost surely, 2^{1013311332033} is an apocalyptic number.

1013311332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013311332033 is a deficient number, since it is larger than the sum of its proper divisors (809193955647).

1013311332033 is a wasteful number, since it uses less digits than its factorization.

1013311332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1013311332033 its reverse (3302331133101), we get a palindrome (4315642465134).

The spelling of 1013311332033 in words is "one trillion, thirteen billion, three hundred eleven million, three hundred thirty-two thousand, thirty-three".