13025222252031 has 16 divisors (see below), whose sum is σ = 18946375257600. Its totient is φ = 7893825160320.

The previous prime is 13025222251967. The next prime is 13025222252177.

It is a happy number.

13025222252031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13025222252031 - 2⁶ = 13025222251967 is a prime.

It is a super-2 number, since 2×13025222252031² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13025222252031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025222252431) 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 15 ways as a sum of consecutive naturals, for example, 5158231 + ... + 7256568.

It is an arithmetic number, because the mean of its divisors is an integer number (1184148453600).

Almost surely, 2^{13025222252031} is an apocalyptic number.

13025222252031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13025222252031 is a deficient number, since it is larger than the sum of its proper divisors (5921153005569).

13025222252031 is a wasteful number, since it uses less digits than its factorization.

13025222252031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446606.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 1302522 and 2252031, that added together give a palindrome (3554553).

The spelling of 13025222252031 in words is "thirteen trillion, twenty-five billion, two hundred twenty-two million, two hundred fifty-two thousand, thirty-one".