102033101213 has 8 divisors (see below), whose sum is σ = 102113638200. Its totient is φ = 101952598528.

The previous prime is 102033101201. The next prime is 102033101231. The reversal of 102033101213 is 312101330201.

It can be written as a sum of positive squares in 4 ways, for example, as 35570714404 + 66462386809 = 188602^2 + 257803^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102033101213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102033101191 and 102033101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033101263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9911573 + ... + 9921861.

It is an arithmetic number, because the mean of its divisors is an integer number (12764204775).

Almost surely, 2^102033101213 is an apocalyptic number.

It is an amenable number.

102033101213 is a deficient number, since it is larger than the sum of its proper divisors (80536987).

102033101213 is a wasteful number, since it uses less digits than its factorization.

102033101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102033101213 its reverse (312101330201), we get a palindrome (414134431414).

The spelling of 102033101213 in words is "one hundred two billion, thirty-three million, one hundred one thousand, two hundred thirteen".