1020200110033 has 32 divisors (see below), whose sum is σ = 1136837671200. Its totient is φ = 909493401600.

The previous prime is 1020200109967. The next prime is 1020200110049. The reversal of 1020200110033 is 3300110020201.

1020200110033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 386278409169 + 633921700864 = 621513^2 + 796192^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020200110033 - 2¹⁷ = 1020199978961 is a prime.

It is a super-3 number, since 3×1020200110033³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1020200109995 and 1020200110022.

It is not an unprimeable number, because it can be changed into a prime (1020200110133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68605123 + ... + 68619991.

It is an arithmetic number, because the mean of its divisors is an integer number (35526177225).

Almost surely, 2^{1020200110033} is an apocalyptic number.

1020200110033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020200110033 is a deficient number, since it is larger than the sum of its proper divisors (116637561167).

1020200110033 is a wasteful number, since it uses less digits than its factorization.

1020200110033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16213.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1020200110033 its reverse (3300110020201), we get a palindrome (4320310130234).

The spelling of 1020200110033 in words is "one trillion, twenty billion, two hundred million, one hundred ten thousand, thirty-three".