103313313201033 has 12 divisors (see below), whose sum is σ = 160709598312900. Its totient is φ = 63577423508256.

The previous prime is 103313313200989. The next prime is 103313313201061. The reversal of 103313313201033 is 330102313313301.

103313313201033 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 331 + 320 + 1 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43812577477449 + 59500735723584 = 6619107^2 + 7713672^2 .

It is not a de Polignac number, because 103313313201033 - 2⁹ = 103313313200521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313313200988 and 103313313201006.

It is not an unprimeable number, because it can be changed into a prime (103313313201073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441509885358 + ... + 441509885591.

It is an arithmetic number, because the mean of its divisors is an integer number (13392466526075).

Almost surely, 2^{103313313201033} is an apocalyptic number.

103313313201033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103313313201033 is a deficient number, since it is larger than the sum of its proper divisors (57396285111867).

103313313201033 is a wasteful number, since it uses less digits than its factorization.

103313313201033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883019770968 (or 883019770965 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103313313201033 its reverse (330102313313301), we get a palindrome (433415626514334).

The spelling of 103313313201033 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirteen million, two hundred one thousand, thirty-three".