135310331310 has 128 divisors (see below), whose sum is σ = 405482886144. Its totient is φ = 28074332160.

The previous prime is 135310331281. The next prime is 135310331347. The reversal of 135310331310 is 13133013531.

It is a super-2 number, since 2×135310331310² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 1511112 + ... + 1598148.

It is an arithmetic number, because the mean of its divisors is an integer number (3167835048).

Almost surely, 2^135310331310 is an apocalyptic number.

135310331310 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 135310331310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202741443072).

135310331310 is an abundant number, since it is smaller than the sum of its proper divisors (270172554834).

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

135310331310 is a wasteful number, since it uses less digits than its factorization.

135310331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87738.

The product of its (nonzero) digits is 1215, while the sum is 24.

Adding to 135310331310 its reverse (13133013531), we get a palindrome (148443344841).

The spelling of 135310331310 in words is "one hundred thirty-five billion, three hundred ten million, three hundred thirty-one thousand, three hundred ten".