101311134053325 has 384 divisors, whose sum is σ = 214447783034880. Its totient is φ = 41084751052800.

The previous prime is 101311134053317. The next prime is 101311134053333. The reversal of 101311134053325 is 523350431113101.

It is an interprime number because it is at equal distance from previous prime (101311134053317) and next prime (101311134053333).

It is not a de Polignac number, because 101311134053325 - 2³ = 101311134053317 is a prime.

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 383 ways as a sum of consecutive naturals, for example, 50228622717 + ... + 50228624733.

It is an arithmetic number, because the mean of its divisors is an integer number (558457768320).

Almost surely, 2^{101311134053325} is an apocalyptic number.

101311134053325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101311134053325 is an abundant number, since it is smaller than the sum of its proper divisors (113136648981555).

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

101311134053325 is a wasteful number, since it uses less digits than its factorization.

101311134053325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 101311134053325 its reverse (523350431113101), we get a palindrome (624661565166426).

The spelling of 101311134053325 in words is "one hundred one trillion, three hundred eleven billion, one hundred thirty-four million, fifty-three thousand, three hundred twenty-five".