13022032101331 has 48 divisors (see below), whose sum is σ = 14579850700800. Its totient is φ = 11620565528000.

The previous prime is 13022032101317. The next prime is 13022032101347. The reversal of 13022032101331 is 13310123022031.

It is not a de Polignac number, because 13022032101331 - 2³⁵ = 12987672362963 is a prime.

It is a super-2 number, since 2×13022032101331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13022032101391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541917825 + ... + 541941853.

It is an arithmetic number, because the mean of its divisors is an integer number (303746889600).

Almost surely, 2^{13022032101331} is an apocalyptic number.

13022032101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022032101331 is a deficient number, since it is larger than the sum of its proper divisors (1557818599469).

13022032101331 is a wasteful number, since it uses less digits than its factorization.

13022032101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24552 (or 24541 counting only the distinct ones).

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

Adding to 13022032101331 its reverse (13310123022031), we get a palindrome (26332155123362).

The spelling of 13022032101331 in words is "thirteen trillion, twenty-two billion, thirty-two million, one hundred one thousand, three hundred thirty-one".