13477477431 has 48 divisors (see below), whose sum is σ = 20315981952. Its totient is φ = 7937941440.

The previous prime is 13477477421. The next prime is 13477477457.

13477477431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13477477431 - 2⁷ = 13477477303 is a prime.

It is a super-2 number, since 2×13477477431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13477477411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2055300 + ... + 2061846.

It is an arithmetic number, because the mean of its divisors is an integer number (423249624).

Almost surely, 2^13477477431 is an apocalyptic number.

13477477431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13477477431 is a deficient number, since it is larger than the sum of its proper divisors (6838504521).

13477477431 is a wasteful number, since it uses less digits than its factorization.

13477477431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6721 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 48.

It can be divided in two parts, 1347 and 7477431, that added together give a triangular number (7478778 = T₃₈₆₇).

The spelling of 13477477431 in words is "thirteen billion, four hundred seventy-seven million, four hundred seventy-seven thousand, four hundred thirty-one".