13105332011430 has 128 divisors (see below), whose sum is σ = 36755552010240. Its totient is φ = 3318209331840.

The previous prime is 13105332011423. The next prime is 13105332011477. The reversal of 13105332011430 is 3411023350131.

13105332011430 is a `hidden beast` number, since 1 + 3 + 10 + 533 + 2 + 0 + 114 + 3 + 0 = 666.

13105332011430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13105332011394 and 13105332011403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14327622 + ... + 15214841.

It is an arithmetic number, because the mean of its divisors is an integer number (287152750080).

Almost surely, 2^{13105332011430} is an apocalyptic number.

13105332011430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105332011430 is an abundant number, since it is smaller than the sum of its proper divisors (23650219998810).

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

13105332011430 is a wasteful number, since it uses less digits than its factorization.

13105332011430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29542563 (or 29542557 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13105332011430 its reverse (3411023350131), we get a palindrome (16516355361561).

The spelling of 13105332011430 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, eleven thousand, four hundred thirty".