102000001013 has 4 divisors (see below), whose sum is σ = 103924529388. Its totient is φ = 100075472640.

The previous prime is 102000001009. The next prime is 102000001027. The reversal of 102000001013 is 310100000201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310100000201 = 107 ⋅2898130843.

It can be written as a sum of positive squares in 2 ways, for example, as 79601286769 + 22398714244 = 282137^2 + 149662^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000001013 - 2² = 102000001009 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 (102000001913) 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, 962264108 + ... + 962264213.

It is an arithmetic number, because the mean of its divisors is an integer number (25981132347).

Almost surely, 2^102000001013 is an apocalyptic number.

It is an amenable number.

102000001013 is a deficient number, since it is larger than the sum of its proper divisors (1924528375).

102000001013 is an equidigital number, since it uses as much as digits as its factorization.

102000001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924528374.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 102000001013 its reverse (310100000201), we get a palindrome (412100001214).

The spelling of 102000001013 in words is "one hundred two billion, one thousand, thirteen".