102213113203311 has 48 divisors (see below), whose sum is σ = 163379553344640. Its totient is φ = 56292918545920.

The previous prime is 102213113203283. The next prime is 102213113203339. The reversal of 102213113203311 is 113302311312201.

It is an interprime number because it is at equal distance from previous prime (102213113203283) and next prime (102213113203339).

It is not a de Polignac number, because 102213113203311 - 2¹⁴ = 102213113186927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213113203511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184508481 + ... + 185061626.

It is an arithmetic number, because the mean of its divisors is an integer number (3403740694680).

Almost surely, 2^{102213113203311} is an apocalyptic number.

102213113203311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213113203311 is a deficient number, since it is larger than the sum of its proper divisors (61166440141329).

102213113203311 is a wasteful number, since it uses less digits than its factorization.

102213113203311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369570184 (or 369570167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102213113203311 its reverse (113302311312201), we get a palindrome (215515424515512).

The spelling of 102213113203311 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred three thousand, three hundred eleven".