13384688648331 has 128 divisors (see below), whose sum is σ = 24607127365632. Its totient is φ = 6246051840000.

The previous prime is 13384688648323. The next prime is 13384688648483.

13384688648331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13384688648331 - 2³ = 13384688648323 is a prime.

It is a super-2 number, since 2×13384688648331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13384688648311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49236775 + ... + 49507871.

It is an arithmetic number, because the mean of its divisors is an integer number (192243182544).

Almost surely, 2^{13384688648331} is an apocalyptic number.

13384688648331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13384688648331 is a deficient number, since it is larger than the sum of its proper divisors (11222438717301).

13384688648331 is a wasteful number, since it uses less digits than its factorization.

13384688648331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271573.

The product of its digits is 191102976, while the sum is 66.

The spelling of 13384688648331 in words is "thirteen trillion, three hundred eighty-four billion, six hundred eighty-eight million, six hundred forty-eight thousand, three hundred thirty-one".