13225144152231 has 24 divisors (see below), whose sum is σ = 20884245617664. Its totient is φ = 7998075599760.

The previous prime is 13225144152223. The next prime is 13225144152239.

13225144152231 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 1 + 4 + 415 + 2 + 231 = 666.

13225144152231 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13225144152223) and next prime (13225144152239).

It is not a de Polignac number, because 13225144152231 - 2³ = 13225144152223 is a prime.

It is a super-2 number, since 2×13225144152231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225144152239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142980871 + ... + 143073336.

It is an arithmetic number, because the mean of its divisors is an integer number (870176900736).

Almost surely, 2^{13225144152231} is an apocalyptic number.

13225144152231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13225144152231 is a deficient number, since it is larger than the sum of its proper divisors (7659101465433).

13225144152231 is a wasteful number, since it uses less digits than its factorization.

13225144152231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286054691 (or 286054688 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 1322514 and 4152231, that added together give a palindrome (5474745).

The spelling of 13225144152231 in words is "thirteen trillion, two hundred twenty-five billion, one hundred forty-four million, one hundred fifty-two thousand, two hundred thirty-one".