102011320220013 has 24 divisors (see below), whose sum is σ = 151332757871256. Its totient is φ = 66169221148800.

The previous prime is 102011320219999. The next prime is 102011320220021. The reversal of 102011320220013 is 310022023110201.

102011320220013 is a `hidden beast` number, since 102 + 0 + 11 + 320 + 220 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60714219876489 + 41297100343524 = 7791933^2 + 6426282^2 .

It is not a de Polignac number, because 102011320220013 - 2¹⁴ = 102011320203629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011320210013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100373743 + ... + 101384963.

It is an arithmetic number, because the mean of its divisors is an integer number (6305531577969).

Almost surely, 2^{102011320220013} is an apocalyptic number.

It is an amenable number.

102011320220013 is a deficient number, since it is larger than the sum of its proper divisors (49321437651243).

102011320220013 is a wasteful number, since it uses less digits than its factorization.

102011320220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314205 (or 1314202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102011320220013 its reverse (310022023110201), we get a palindrome (412033343330214).

The spelling of 102011320220013 in words is "one hundred two trillion, eleven billion, three hundred twenty million, two hundred twenty thousand, thirteen".