102011013333213 has 16 divisors (see below), whose sum is σ = 136727469821952. Its totient is φ = 67650953006000.

The previous prime is 102011013333199. The next prime is 102011013333367. The reversal of 102011013333213 is 312333310110201.

It is a cyclic number.

It is not a de Polignac number, because 102011013333213 - 2²⁴ = 102010996555997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011013333413) 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, 190203718 + ... + 190739288.

It is an arithmetic number, because the mean of its divisors is an integer number (8545466863872).

Almost surely, 2^{102011013333213} is an apocalyptic number.

It is an amenable number.

102011013333213 is a deficient number, since it is larger than the sum of its proper divisors (34716456488739).

102011013333213 is a wasteful number, since it uses less digits than its factorization.

102011013333213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868176.

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

Adding to 102011013333213 its reverse (312333310110201), we get a palindrome (414344323443414).

The spelling of 102011013333213 in words is "one hundred two trillion, eleven billion, thirteen million, three hundred thirty-three thousand, two hundred thirteen".