13072688677081 has 16 divisors (see below), whose sum is σ = 14368410504000. Its totient is φ = 11794905374400.

The previous prime is 13072688677051. The next prime is 13072688677109. The reversal of 13072688677081 is 18077688627031.

It is a cyclic number.

It is not a de Polignac number, because 13072688677081 - 2¹⁹ = 13072688152793 is a prime.

It is a super-2 number, since 2×13072688677081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13072688677051) 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, 3283695 + ... + 6076843.

It is an arithmetic number, because the mean of its divisors is an integer number (898025656500).

Almost surely, 2^{13072688677081} is an apocalyptic number.

13072688677081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13072688677081 is a deficient number, since it is larger than the sum of its proper divisors (1295721826919).

13072688677081 is a wasteful number, since it uses less digits than its factorization.

13072688677081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796360.

The product of its (nonzero) digits is 37933056, while the sum is 64.

The spelling of 13072688677081 in words is "thirteen trillion, seventy-two billion, six hundred eighty-eight million, six hundred seventy-seven thousand, eighty-one".