13405977257431 has 16 divisors (see below), whose sum is σ = 14637789388800. Its totient is φ = 12176348457600.

The previous prime is 13405977257423. The next prime is 13405977257437. The reversal of 13405977257431 is 13475277950431.

It is a cyclic number.

It is not a de Polignac number, because 13405977257431 - 2³ = 13405977257423 is a prime.

It is a super-2 number, since 2×13405977257431² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405977257437) 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, 136969071 + ... + 137066911.

It is an arithmetic number, because the mean of its divisors is an integer number (914861836800).

Almost surely, 2^{13405977257431} is an apocalyptic number.

13405977257431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13405977257431 is a deficient number, since it is larger than the sum of its proper divisors (1231812131369).

13405977257431 is a wasteful number, since it uses less digits than its factorization.

13405977257431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108870.

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 13405977257431 in words is "thirteen trillion, four hundred five billion, nine hundred seventy-seven million, two hundred fifty-seven thousand, four hundred thirty-one".