101213313202233 has 6 divisors (see below), whose sum is σ = 146197007958794. Its totient is φ = 67475542134816.

The previous prime is 101213313202223. The next prime is 101213313202241. The reversal of 101213313202233 is 332202313312101.

101213313202233 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 331 + 320 + 2 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59386011637824 + 41827301564409 = 7706232^2 + 6467403^2 .

It is not a de Polignac number, because 101213313202233 - 2¹³ = 101213313194041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101213313202197 and 101213313202206.

It is not an unprimeable number, because it can be changed into a prime (101213313202223) 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 5 ways as a sum of consecutive naturals, for example, 5622961844560 + ... + 5622961844577.

Almost surely, 2^{101213313202233} is an apocalyptic number.

It is an amenable number.

101213313202233 is a deficient number, since it is larger than the sum of its proper divisors (44983694756561).

101213313202233 is a wasteful number, since it uses less digits than its factorization.

101213313202233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245923689143 (or 11245923689140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101213313202233 its reverse (332202313312101), we get a palindrome (433415626514334).

The spelling of 101213313202233 in words is "one hundred one trillion, two hundred thirteen billion, three hundred thirteen million, two hundred two thousand, two hundred thirty-three".