102011310010013 has 4 divisors (see below), whose sum is σ = 103740315264480. Its totient is φ = 100282304755548.

The previous prime is 102011310009997. The next prime is 102011310010021. The reversal of 102011310010013 is 310010013110201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102011310010013 - 2⁴ = 102011310009997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102011310010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011310010613) 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 3 ways as a sum of consecutive naturals, for example, 864502627145 + ... + 864502627262.

It is an arithmetic number, because the mean of its divisors is an integer number (25935078816120).

Almost surely, 2^{102011310010013} is an apocalyptic number.

It is an amenable number.

102011310010013 is a deficient number, since it is larger than the sum of its proper divisors (1729005254467).

102011310010013 is an equidigital number, since it uses as much as digits as its factorization.

102011310010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729005254466.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 102011310010013 its reverse (310010013110201), we get a palindrome (412021323120214).

The spelling of 102011310010013 in words is "one hundred two trillion, eleven billion, three hundred ten million, ten thousand, thirteen".