10010301100033 has 24 divisors (see below), whose sum is σ = 10990050712760. Its totient is φ = 9063881648640.

The previous prime is 10010301099983. The next prime is 10010301100049. The reversal of 10010301100033 is 33000110301001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4908227564304 + 5102073535729 = 2215452^2 + 2258777^2 .

It is not a de Polignac number, because 10010301100033 - 2¹⁷ = 10010300968961 is a prime.

It is a super-2 number, since 2×10010301100033² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010301099986 and 10010301100022.

It is not an unprimeable number, because it can be changed into a prime (10010301100073) 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, 174851293 + ... + 174908533.

Almost surely, 2^{10010301100033} is an apocalyptic number.

10010301100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010301100033 is a deficient number, since it is larger than the sum of its proper divisors (979749612727).

10010301100033 is an equidigital number, since it uses as much as digits as its factorization.

10010301100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62149 (or 62096 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10010301100033 its reverse (33000110301001), we get a palindrome (43010411401034).

The spelling of 10010301100033 in words is "ten trillion, ten billion, three hundred one million, one hundred thousand, thirty-three".