13105420330032 has 120 divisors (see below), whose sum is σ = 36864874425600. Its totient is φ = 4346097655680.

The previous prime is 13105420330021. The next prime is 13105420330039. The reversal of 13105420330032 is 23003302450131.

13105420330032 is a `hidden beast` number, since 1 + 310 + 5 + 42 + 0 + 3 + 300 + 3 + 2 = 666.

It is a super-2 number, since 2×13105420330032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13105420329978 and 13105420330005.

It is not an unprimeable number, because it can be changed into a prime (13105420330039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458682307 + ... + 458710877.

It is an arithmetic number, because the mean of its divisors is an integer number (307207286880).

Almost surely, 2^{13105420330032} is an apocalyptic number.

13105420330032 is a gapful number since it is divisible by the number (12) 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 13105420330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432437212800).

13105420330032 is an abundant number, since it is smaller than the sum of its proper divisors (23759454095568).

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

13105420330032 is a wasteful number, since it uses less digits than its factorization.

13105420330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44791 (or 44782 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13105420330032 its reverse (23003302450131), we get a palindrome (36108722780163).

The spelling of 13105420330032 in words is "thirteen trillion, one hundred five billion, four hundred twenty million, three hundred thirty thousand, thirty-two".