13311022133031 has 96 divisors (see below), whose sum is σ = 22329508101120. Its totient is φ = 7005209186304.

The previous prime is 13311022133027. The next prime is 13311022133077. The reversal of 13311022133031 is 13033122011331.

It is not a de Polignac number, because 13311022133031 - 2² = 13311022133027 is a prime.

It is a super-2 number, since 2×13311022133031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13311022132992 and 13311022133010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311022133081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1020542596 + ... + 1020555638.

It is an arithmetic number, because the mean of its divisors is an integer number (232599042720).

Almost surely, 2^{13311022133031} is an apocalyptic number.

13311022133031 is a deficient number, since it is larger than the sum of its proper divisors (9018485968089).

13311022133031 is a wasteful number, since it uses less digits than its factorization.

13311022133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13311022133031 its reverse (13033122011331), we get a palindrome (26344144144362).

The spelling of 13311022133031 in words is "thirteen trillion, three hundred eleven billion, twenty-two million, one hundred thirty-three thousand, thirty-one".