13026431983136 has 192 divisors, whose sum is σ = 30418769082240. Its totient is φ = 5413170954240.

The previous prime is 13026431983109. The next prime is 13026431983139. The reversal of 13026431983136 is 63138913462031.

It is a super-2 number, since 2×13026431983136² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13026431983139) 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, 1652467451 + ... + 1652475333.

It is an arithmetic number, because the mean of its divisors is an integer number (158431088970).

Almost surely, 2^{13026431983136} is an apocalyptic number.

13026431983136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13026431983136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209384541120).

13026431983136 is an abundant number, since it is smaller than the sum of its proper divisors (17392337099104).

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

13026431983136 is a wasteful number, since it uses less digits than its factorization.

13026431983136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 13026431983136 in words is "thirteen trillion, twenty-six billion, four hundred thirty-one million, nine hundred eighty-three thousand, one hundred thirty-six".