13022002133031 has 8 divisors (see below), whose sum is σ = 17381562517120. Its totient is φ = 8671888252152.

The previous prime is 13022002133017. The next prime is 13022002133039. The reversal of 13022002133031 is 13033120022031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13022002133031 - 2¹⁷ = 13022002001959 is a prime.

It is a super-2 number, since 2×13022002133031² (a number of 27 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 = 13022002132989 and 13022002133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022002133039) 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 7 ways as a sum of consecutive naturals, for example, 2361622585 + ... + 2361628098.

It is an arithmetic number, because the mean of its divisors is an integer number (2172695314640).

Almost surely, 2^{13022002133031} is an apocalyptic number.

13022002133031 is a deficient number, since it is larger than the sum of its proper divisors (4359560384089).

13022002133031 is an equidigital number, since it uses as much as digits as its factorization.

13022002133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723251605.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13022002133031 its reverse (13033120022031), we get a palindrome (26055122155062).

The spelling of 13022002133031 in words is "thirteen trillion, twenty-two billion, two million, one hundred thirty-three thousand, thirty-one".