13009811283456 has 80 divisors (see below), whose sum is σ = 37325023535184. Its totient is φ = 4003018850304.

The previous prime is 13009811283451. The next prime is 13009811283461. The reversal of 13009811283456 is 65438211890031.

It is an interprime number because it is at equal distance from previous prime (13009811283451) and next prime (13009811283461).

It is a super-2 number, since 2×13009811283456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13009811283399 and 13009811283408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009811283451) 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 7 ways as a sum of consecutive naturals, for example, 325746541 + ... + 325786476.

Almost surely, 2^{13009811283456} is an apocalyptic number.

13009811283456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13009811283456 is an abundant number, since it is smaller than the sum of its proper divisors (24315212251728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13009811283456 is an equidigital number, since it uses as much as digits as its factorization.

13009811283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651533051 (or 651533035 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 13009811283456 in words is "thirteen trillion, nine billion, eight hundred eleven million, two hundred eighty-three thousand, four hundred fifty-six".