101132141001231 has 48 divisors (see below), whose sum is σ = 140465239827840. Its totient is φ = 64644543089280.

The previous prime is 101132141001187. The next prime is 101132141001233. The reversal of 101132141001231 is 132100141231101.

It is a happy number.

It is not a de Polignac number, because 101132141001231 - 2¹⁸ = 101132140739087 is a prime.

It is a super-2 number, since 2×101132141001231² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101132141001198 and 101132141001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132141001233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3112603896 + ... + 3112636386.

It is an arithmetic number, because the mean of its divisors is an integer number (2926359163080).

Almost surely, 2^{101132141001231} is an apocalyptic number.

101132141001231 is a deficient number, since it is larger than the sum of its proper divisors (39333098826609).

101132141001231 is an equidigital number, since it uses as much as digits as its factorization.

101132141001231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33544 (or 33147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101132141001231 its reverse (132100141231101), we get a palindrome (233232282232332).

The spelling of 101132141001231 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred forty-one million, one thousand, two hundred thirty-one".