13027456013 has 32 divisors (see below), whose sum is σ = 16128951552. Its totient is φ = 10353024000.

The previous prime is 13027456003. The next prime is 13027456019. The reversal of 13027456013 is 31065472031.

It is not a de Polignac number, because 13027456013 - 2¹⁴ = 13027439629 is a prime.

It is a super-2 number, since 2×13027456013² (a number of 21 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 (13027456019) 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, 312581 + ... + 351797.

It is an arithmetic number, because the mean of its divisors is an integer number (504029736).

Almost surely, 2^13027456013 is an apocalyptic number.

13027456013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13027456013 is a deficient number, since it is larger than the sum of its proper divisors (3101495539).

13027456013 is a wasteful number, since it uses less digits than its factorization.

13027456013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39365.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 13027456013 in words is "thirteen billion, twenty-seven million, four hundred fifty-six thousand, thirteen".