101213202002133 has 32 divisors (see below), whose sum is σ = 145604645966080. Its totient is φ = 62168110364160.

The previous prime is 101213202002069. The next prime is 101213202002189. The reversal of 101213202002133 is 331200202312101.

It is not a de Polignac number, because 101213202002133 - 2⁶ = 101213202002069 is a prime.

It is a super-2 number, since 2×101213202002133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213202002233) 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, 1299849360 + ... + 1299927222.

It is an arithmetic number, because the mean of its divisors is an integer number (4550145186440).

Almost surely, 2^{101213202002133} is an apocalyptic number.

101213202002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101213202002133 is a deficient number, since it is larger than the sum of its proper divisors (44391443963947).

101213202002133 is a wasteful number, since it uses less digits than its factorization.

101213202002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140029.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101213202002133 its reverse (331200202312101), we get a palindrome (432413404314234).

The spelling of 101213202002133 in words is "one hundred one trillion, two hundred thirteen billion, two hundred two million, two thousand, one hundred thirty-three".