102013311123213 has 12 divisors (see below), whose sum is σ = 158224727456640. Its totient is φ = 58293320641752.

The previous prime is 102013311123193. The next prime is 102013311123239. The reversal of 102013311123213 is 312321113310201.

It is not a de Polignac number, because 102013311123213 - 2¹⁴ = 102013311106829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013311123013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346984051293 + ... + 346984051586.

It is an arithmetic number, because the mean of its divisors is an integer number (13185393954720).

Almost surely, 2^{102013311123213} is an apocalyptic number.

It is an amenable number.

102013311123213 is a deficient number, since it is larger than the sum of its proper divisors (56211416333427).

102013311123213 is an equidigital number, since it uses as much as digits as its factorization.

102013311123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693968102896 (or 693968102889 counting only the distinct ones).

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

Adding to 102013311123213 its reverse (312321113310201), we get a palindrome (414334424433414).

The spelling of 102013311123213 in words is "one hundred two trillion, thirteen billion, three hundred eleven million, one hundred twenty-three thousand, two hundred thirteen".