101300033132311 has 32 divisors (see below), whose sum is σ = 110930104454400. Its totient is φ = 91942574929920.

The previous prime is 101300033132231. The next prime is 101300033132323. The reversal of 101300033132311 is 113231330003101.

It is not a de Polignac number, because 101300033132311 - 2²⁵ = 101299999577879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300033133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674282875 + ... + 674433091.

It is an arithmetic number, because the mean of its divisors is an integer number (3466565764200).

Almost surely, 2^{101300033132311} is an apocalyptic number.

101300033132311 is a deficient number, since it is larger than the sum of its proper divisors (9630071322089).

101300033132311 is a wasteful number, since it uses less digits than its factorization.

101300033132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153019.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101300033132311 its reverse (113231330003101), we get a palindrome (214531363135412).

The spelling of 101300033132311 in words is "one hundred one trillion, three hundred billion, thirty-three million, one hundred thirty-two thousand, three hundred eleven".