1013311322433 has 32 divisors (see below), whose sum is σ = 1507303987200. Its totient is φ = 672800471568.

The previous prime is 1013311322381. The next prime is 1013311322449. The reversal of 1013311322433 is 3342231133101.

1013311322433 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 1 + 322 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 1013311322433 - 2⁹ = 1013311321921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1013311322397 and 1013311322406.

It is not an unprimeable number, because it can be changed into a prime (1013311321433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6597316 + ... + 6749162.

It is an arithmetic number, because the mean of its divisors is an integer number (47103249600).

Almost surely, 2^{1013311322433} is an apocalyptic number.

It is an amenable number.

1013311322433 is a deficient number, since it is larger than the sum of its proper divisors (493992664767).

1013311322433 is a wasteful number, since it uses less digits than its factorization.

1013311322433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152858 (or 152852 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1013311322433 its reverse (3342231133101), we get a palindrome (4355542455534).

The spelling of 1013311322433 in words is "one trillion, thirteen billion, three hundred eleven million, three hundred twenty-two thousand, four hundred thirty-three".