1023100113 has 24 divisors (see below), whose sum is σ = 1585107264. Its totient is φ = 575000640.

The previous prime is 1023100093. The next prime is 1023100129. The reversal of 1023100113 is 3110013201.

It is not a de Polignac number, because 1023100113 - 2⁹ = 1023099601 is a prime.

It is a super-2 number, since 2×1023100113² = 2093467682441225538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023100153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71595 + ... + 84687.

It is an arithmetic number, because the mean of its divisors is an integer number (66046136).

Almost surely, 2^1023100113 is an apocalyptic number.

It is an amenable number.

1023100113 is a deficient number, since it is larger than the sum of its proper divisors (562007151).

1023100113 is an equidigital number, since it uses as much as digits as its factorization.

1023100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1023100113 is about 31985.9361751380. The cubic root of 1023100113 is about 1007.6414964632.

Adding to 1023100113 its reverse (3110013201), we get a palindrome (4133113314).

The spelling of 1023100113 in words is "one billion, twenty-three million, one hundred thousand, one hundred thirteen".