13478011087431 has 32 divisors (see below), whose sum is σ = 19990701319680. Its totient is φ = 8009094672000.

The previous prime is 13478011087423. The next prime is 13478011087433.

It is a happy number.

13478011087431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13478011087431 - 2³ = 13478011087423 is a prime.

It is a super-2 number, since 2×13478011087431² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478011087433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19286836 + ... + 19973433.

It is an arithmetic number, because the mean of its divisors is an integer number (624709416240).

Almost surely, 2^{13478011087431} is an apocalyptic number.

13478011087431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13478011087431 is a deficient number, since it is larger than the sum of its proper divisors (6512690232249).

13478011087431 is a wasteful number, since it uses less digits than its factorization.

13478011087431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39260487.

The product of its (nonzero) digits is 451584, while the sum is 48.

It can be divided in two parts, 134780 and 11087431, that added together give a palindrome (11222211).

The spelling of 13478011087431 in words is "thirteen trillion, four hundred seventy-eight billion, eleven million, eighty-seven thousand, four hundred thirty-one".