110133133110013 has 16 divisors (see below), whose sum is σ = 121529300046336. Its totient is φ = 99156024984960.

The previous prime is 110133133109977. The next prime is 110133133110023. The reversal of 110133133110013 is 310011331331011.

It is a cyclic number.

It is not a de Polignac number, because 110133133110013 - 2⁹ = 110133133109501 is a prime.

It is a super-3 number, since 3×110133133110013³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110133133110023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24805381 + ... + 28906282.

It is an arithmetic number, because the mean of its divisors is an integer number (7595581252896).

Almost surely, 2^{110133133110013} is an apocalyptic number.

110133133110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110133133110013 is a deficient number, since it is larger than the sum of its proper divisors (11396166936323).

110133133110013 is a wasteful number, since it uses less digits than its factorization.

110133133110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53715564.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 110133133110013 its reverse (310011331331011), we get a palindrome (420144464441024).

The spelling of 110133133110013 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred ten thousand, thirteen".