102013313101013 has 4 divisors (see below), whose sum is σ = 108014096224620. Its totient is φ = 96012529977408.

The previous prime is 102013313101009. The next prime is 102013313101019. The reversal of 102013313101013 is 310101313310201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 91233864896164 + 10779448204849 = 9551642^2 + 3283207^2 .

It is not a de Polignac number, because 102013313101013 - 2² = 102013313101009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013313101019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3000391561778 + ... + 3000391561811.

It is an arithmetic number, because the mean of its divisors is an integer number (27003524056155).

Almost surely, 2^{102013313101013} is an apocalyptic number.

It is an amenable number.

102013313101013 is a deficient number, since it is larger than the sum of its proper divisors (6000783123607).

102013313101013 is an equidigital number, since it uses as much as digits as its factorization.

102013313101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000783123606.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 102013313101013 its reverse (310101313310201), we get a palindrome (412114626411214).

The spelling of 102013313101013 in words is "one hundred two trillion, thirteen billion, three hundred thirteen million, one hundred one thousand, thirteen".