13758120633431 has 2 divisors, whose sum is σ = 13758120633432. Its totient is φ = 13758120633430.

The previous prime is 13758120633409. The next prime is 13758120633479. The reversal of 13758120633431 is 13433602185731.

13758120633431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13758120633431 - 2³⁰ = 13757046891607 is a prime.

It is a super-4 number, since 4×13758120633431⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13758120630431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6879060316715 + 6879060316716.

It is an arithmetic number, because the mean of its divisors is an integer number (6879060316716).

Almost surely, 2^{13758120633431} is an apocalyptic number.

13758120633431 is a deficient number, since it is larger than the sum of its proper divisors (1).

13758120633431 is an equidigital number, since it uses as much as digits as its factorization.

13758120633431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 13758120633431 in words is "thirteen trillion, seven hundred fifty-eight billion, one hundred twenty million, six hundred thirty-three thousand, four hundred thirty-one".