101152331505351 has 24 divisors (see below), whose sum is σ = 172739613739680. Its totient is φ = 55808182898496.

The previous prime is 101152331505349. The next prime is 101152331505377. The reversal of 101152331505351 is 153505133251101.

101152331505351 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 523 + 31 + 5 + 0 + 53 + 51 = 666.

It is not a de Polignac number, because 101152331505351 - 2¹ = 101152331505349 is a prime.

It is a super-3 number, since 3×101152331505351³ (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 (101152331504351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27682628580 + ... + 27682632233.

It is an arithmetic number, because the mean of its divisors is an integer number (7197483905820).

Almost surely, 2^{101152331505351} is an apocalyptic number.

101152331505351 is a deficient number, since it is larger than the sum of its proper divisors (71587282234329).

101152331505351 is a wasteful number, since it uses less digits than its factorization.

101152331505351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55365260855 (or 55365260852 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

Adding to 101152331505351 its reverse (153505133251101), we get a palindrome (254657464756452).

The spelling of 101152331505351 in words is "one hundred one trillion, one hundred fifty-two billion, three hundred thirty-one million, five hundred five thousand, three hundred fifty-one".