135305411163330 has 128 divisors (see below), whose sum is σ = 335867527987200. Its totient is φ = 34866123335424.

The previous prime is 135305411163269. The next prime is 135305411163379. The reversal of 135305411163330 is 33361114503531.

It is a super-3 number, since 3×135305411163330³ (a number of 43 digits) contains 333 as substring.

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, 41938831 + ... + 45049709.

It is an arithmetic number, because the mean of its divisors is an integer number (2623965062400).

Almost surely, 2^{135305411163330} is an apocalyptic number.

135305411163330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135305411163330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167933763993600).

135305411163330 is an abundant number, since it is smaller than the sum of its proper divisors (200562116823870).

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

135305411163330 is a wasteful number, since it uses less digits than its factorization.

135305411163330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111328.

The product of its (nonzero) digits is 145800, while the sum is 39.

Adding to 135305411163330 its reverse (33361114503531), we get a palindrome (168666525666861).

The spelling of 135305411163330 in words is "one hundred thirty-five trillion, three hundred five billion, four hundred eleven million, one hundred sixty-three thousand, three hundred thirty".