1233313312101 has 16 divisors (see below), whose sum is σ = 1772009412096. Its totient is φ = 758491471296.

The previous prime is 1233313312067. The next prime is 1233313312111. The reversal of 1233313312101 is 1012133133321.

It is not a de Polignac number, because 1233313312101 - 2¹⁷ = 1233313181029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233313312111) 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 15 ways as a sum of consecutive naturals, for example, 9739765 + ... + 9865578.

It is an arithmetic number, because the mean of its divisors is an integer number (110750588256).

Almost surely, 2^{1233313312101} is an apocalyptic number.

It is an amenable number.

1233313312101 is a deficient number, since it is larger than the sum of its proper divisors (538696099995).

1233313312101 is a wasteful number, since it uses less digits than its factorization.

1233313312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19606972.

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

Adding to 1233313312101 its reverse (1012133133321), we get a palindrome (2245446445422).

The spelling of 1233313312101 in words is "one trillion, two hundred thirty-three billion, three hundred thirteen million, three hundred twelve thousand, one hundred one".