100311213014233 has 8 divisors (see below), whose sum is σ = 108666675912200. Its totient is φ = 92594965857264.

The previous prime is 100311213014209. The next prime is 100311213014279. The reversal of 100311213014233 is 332410312113001.

It can be written as a sum of positive squares in 4 ways, for example, as 16637237581129 + 83673975433104 = 4078877^2 + 9147348^2 .

It is not a de Polignac number, because 100311213014233 - 2²¹ = 100311210917081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100311213014198 and 100311213014207.

It is not an unprimeable number, because it can be changed into a prime (100311213024233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22829131398 + ... + 22829135791.

It is an arithmetic number, because the mean of its divisors is an integer number (13583334489025).

Almost surely, 2^{100311213014233} is an apocalyptic number.

100311213014233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100311213014233 is a deficient number, since it is larger than the sum of its proper divisors (8355462897967).

100311213014233 is an frugal number, since it uses more digits than its factorization.

100311213014233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45658267228 (or 45658267202 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100311213014233 its reverse (332410312113001), we get a palindrome (432721525127234).

The spelling of 100311213014233 in words is "one hundred trillion, three hundred eleven billion, two hundred thirteen million, fourteen thousand, two hundred thirty-three".