13021131022033 has 16 divisors (see below), whose sum is σ = 14293511055936. Its totient is φ = 11812223695360.

The previous prime is 13021131022021. The next prime is 13021131022051. The reversal of 13021131022033 is 33022013112031.

It is a de Polignac number, because none of the positive numbers 2^k-13021131022033 is a prime.

It is a super-3 number, since 3×13021131022033³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13021131021995 and 13021131022013.

It is not an unprimeable number, because it can be changed into a prime (13021131022063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112482391 + ... + 112598092.

It is an arithmetic number, because the mean of its divisors is an integer number (893344440996).

Almost surely, 2^{13021131022033} is an apocalyptic number.

It is an amenable number.

13021131022033 is a deficient number, since it is larger than the sum of its proper divisors (1272380033903).

13021131022033 is a wasteful number, since it uses less digits than its factorization.

13021131022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225080624.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13021131022033 its reverse (33022013112031), we get a palindrome (46043144134064).

The spelling of 13021131022033 in words is "thirteen trillion, twenty-one billion, one hundred thirty-one million, twenty-two thousand, thirty-three".