1035333340100 has 36 divisors (see below), whose sum is σ = 2251677172500. Its totient is φ = 413210972160.

The previous prime is 1035333340087. The next prime is 1035333340117. The reversal of 1035333340100 is 10433335301.

It can be written as a sum of positive squares in 6 ways, for example, as 2669956 + 1035330670144 = 1634^2 + 1017512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1035333340100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11484425 + ... + 11574224.

It is an arithmetic number, because the mean of its divisors is an integer number (62546588125).

Almost surely, 2^{1035333340100} is an apocalyptic number.

1035333340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035333340100 is an abundant number, since it is smaller than the sum of its proper divisors (1216343832400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1035333340100 is a wasteful number, since it uses less digits than its factorization.

1035333340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23059112 (or 23059105 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 1035333340100 its reverse (10433335301), we get a palindrome (1045766675401).

The spelling of 1035333340100 in words is "one trillion, thirty-five billion, three hundred thirty-three million, three hundred forty thousand, one hundred".