101132411447233 has 32 divisors (see below), whose sum is σ = 113196065587200. Its totient is φ = 89857147750656.

The previous prime is 101132411447213. The next prime is 101132411447239. The reversal of 101132411447233 is 332744114231101.

It is not a de Polignac number, because 101132411447233 - 2¹⁷ = 101132411316161 is a prime.

It is a super-3 number, since 3×101132411447233³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101132411447192 and 101132411447201.

It is not an unprimeable number, because it can be changed into a prime (101132411447239) 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 31 ways as a sum of consecutive naturals, for example, 77906988 + ... + 79194466.

It is an arithmetic number, because the mean of its divisors is an integer number (3537377049600).

Almost surely, 2^{101132411447233} is an apocalyptic number.

It is an amenable number.

101132411447233 is a deficient number, since it is larger than the sum of its proper divisors (12063654139967).

101132411447233 is a wasteful number, since it uses less digits than its factorization.

101132411447233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290141.

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 101132411447233 its reverse (332744114231101), we get a palindrome (433876525678334).

The spelling of 101132411447233 in words is "one hundred one trillion, one hundred thirty-two billion, four hundred eleven million, four hundred forty-seven thousand, two hundred thirty-three".