100311121033 has 4 divisors (see below), whose sum is σ = 102203783748. Its totient is φ = 98418458320.

The previous prime is 100311121021. The next prime is 100311121063. The reversal of 100311121033 is 330121113001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330121113001 = 158567 ⋅2081903.

It can be written as a sum of positive squares in 2 ways, for example, as 81814305024 + 18496816009 = 286032^2 + 136003^2 .

It is a cyclic number.

It is not a de Polignac number, because 100311121033 - 2²⁵ = 100277566601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100311120998 and 100311121016.

It is not an unprimeable number, because it can be changed into a prime (100311121063) 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 3 ways as a sum of consecutive naturals, for example, 946331278 + ... + 946331383.

It is an arithmetic number, because the mean of its divisors is an integer number (25550945937).

Almost surely, 2^100311121033 is an apocalyptic number.

It is an amenable number.

100311121033 is a deficient number, since it is larger than the sum of its proper divisors (1892662715).

100311121033 is an equidigital number, since it uses as much as digits as its factorization.

100311121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892662714.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100311121033 its reverse (330121113001), we get a palindrome (430432234034).

It can be divided in two parts, 1003111 and 21033, that added together give a square (1024144 = 1012²).

The spelling of 100311121033 in words is "one hundred billion, three hundred eleven million, one hundred twenty-one thousand, thirty-three".