1023100013 has 4 divisors (see below), whose sum is σ = 1101800028. Its totient is φ = 944400000.

The previous prime is 1023099941. The next prime is 1023100021. The reversal of 1023100013 is 3100013201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3100013201 = 89 ⋅34831609.

It can be written as a sum of positive squares in 2 ways, for example, as 93276964 + 929823049 = 9658^2 + 30493^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023100013 - 2¹⁸ = 1022837869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023099967 and 1023100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023100063) 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, 39349988 + ... + 39350013.

It is an arithmetic number, because the mean of its divisors is an integer number (275450007).

Almost surely, 2^1023100013 is an apocalyptic number.

1023100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023100013 is a deficient number, since it is larger than the sum of its proper divisors (78700015).

1023100013 is an equidigital number, since it uses as much as digits as its factorization.

1023100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78700014.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1023100013 is about 31985.9346119509. The cubic root of 1023100013 is about 1007.6414636335.

Adding to 1023100013 its reverse (3100013201), we get a palindrome (4123113214).

The spelling of 1023100013 in words is "one billion, twenty-three million, one hundred thousand, thirteen".