1020100013 has 4 divisors (see below), whose sum is σ = 1027887168. Its totient is φ = 1012312860.

The previous prime is 1020100007. The next prime is 1020100021. The reversal of 1020100013 is 3100010201.

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, and also an emirpimes, since its reverse is a distinct semiprime: 3100010201 = 1373 ⋅2257837.

It is a cyclic number.

It is not a de Polignac number, because 1020100013 - 2⁸ = 1020099757 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 (1020100033) 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, 3893381 + ... + 3893642.

It is an arithmetic number, because the mean of its divisors is an integer number (256971792).

Almost surely, 2^1020100013 is an apocalyptic number.

It is an amenable number.

1020100013 is a deficient number, since it is larger than the sum of its proper divisors (7787155).

1020100013 is an equidigital number, since it uses as much as digits as its factorization.

1020100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787154.

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

The square root of 1020100013 is about 31939.0045712135. The cubic root of 1020100013 is about 1006.6556089283.

Adding to 1020100013 its reverse (3100010201), we get a palindrome (4120110214).

The spelling of 1020100013 in words is "one billion, twenty million, one hundred thousand, thirteen".