13122414133431 has 16 divisors (see below), whose sum is σ = 17783523040608. Its totient is φ = 8604792950400.

The previous prime is 13122414133421. The next prime is 13122414133463. The reversal of 13122414133431 is 13433141422131.

It is a happy number.

It is not a de Polignac number, because 13122414133431 - 2⁵ = 13122414133399 is a prime.

It is a super-4 number, since 4×13122414133431⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13122414133392 and 13122414133401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122414133421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33572301 + ... + 33960921.

It is an arithmetic number, because the mean of its divisors is an integer number (1111470190038).

Almost surely, 2^{13122414133431} is an apocalyptic number.

13122414133431 is a deficient number, since it is larger than the sum of its proper divisors (4661108907177).

13122414133431 is a wasteful number, since it uses less digits than its factorization.

13122414133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573202.

The product of its digits is 20736, while the sum is 33.

Adding to 13122414133431 its reverse (13433141422131), we get a palindrome (26555555555562).

The spelling of 13122414133431 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, one hundred thirty-three thousand, four hundred thirty-one".