110345013135 has 96 divisors (see below), whose sum is σ = 222912248832. Its totient is φ = 49455360000.

The previous prime is 110345013131. The next prime is 110345013157. The reversal of 110345013135 is 531310543011.

It is a happy number.

110345013135 is a `hidden beast` number, since 1 + 1 + 0 + 345 + 0 + 1 + 313 + 5 = 666.

It is not a de Polignac number, because 110345013135 - 2² = 110345013131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110345013099 and 110345013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110345013131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3252510 + ... + 3286260.

It is an arithmetic number, because the mean of its divisors is an integer number (2322002592).

Almost surely, 2^110345013135 is an apocalyptic number.

110345013135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

110345013135 is an abundant number, since it is smaller than the sum of its proper divisors (112567235697).

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

110345013135 is a wasteful number, since it uses less digits than its factorization.

110345013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973 (or 33970 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 110345013135 its reverse (531310543011), we get a palindrome (641655556146).

The spelling of 110345013135 in words is "one hundred ten billion, three hundred forty-five million, thirteen thousand, one hundred thirty-five".