101133343311 has 64 divisors (see below), whose sum is σ = 185943346176. Its totient is φ = 47184768000.

The previous prime is 101133343291. The next prime is 101133343313. The reversal of 101133343311 is 113343331101.

It is not a de Polignac number, because 101133343311 - 2¹⁰ = 101133342287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133343313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343990 + ... + 566211.

It is an arithmetic number, because the mean of its divisors is an integer number (2905364784).

Almost surely, 2^101133343311 is an apocalyptic number.

101133343311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101133343311 is a deficient number, since it is larger than the sum of its proper divisors (84810002865).

101133343311 is a wasteful number, since it uses less digits than its factorization.

101133343311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910272.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101133343311 its reverse (113343331101), we get a palindrome (214476674412).

It can be divided in two parts, 101133 and 343311, that added together give a palindrome (444444).

The spelling of 101133343311 in words is "one hundred one billion, one hundred thirty-three million, three hundred forty-three thousand, three hundred eleven".