1023131101 has 8 divisors (see below), whose sum is σ = 1040561624. Its totient is φ = 1005721920.

The previous prime is 1023131069. The next prime is 1023131113. The reversal of 1023131101 is 1011313201.

It can be written as a sum of positive squares in 4 ways, for example, as 3606201 + 1019524900 = 1899^2 + 31930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023131101 - 2⁵ = 1023131069 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 (1023135101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113575 + ... + 122251.

It is an arithmetic number, because the mean of its divisors is an integer number (130070203).

Almost surely, 2^1023131101 is an apocalyptic number.

It is an amenable number.

1023131101 is a deficient number, since it is larger than the sum of its proper divisors (17430523).

1023131101 is an equidigital number, since it uses as much as digits as its factorization.

1023131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1023131101 is about 31986.4205718614. The cubic root of 1023131101 is about 1007.6516696219.

Adding to 1023131101 its reverse (1011313201), we get a palindrome (2034444302).

The spelling of 1023131101 in words is "one billion, twenty-three million, one hundred thirty-one thousand, one hundred one".