100133312010303 has 48 divisors (see below), whose sum is σ = 158052404266848. Its totient is φ = 56014400640000.

The previous prime is 100133312010301. The next prime is 100133312010311. The reversal of 100133312010303 is 303010213331001.

100133312010303 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100133312010303 - 2¹ = 100133312010301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100133312010303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133312010301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62141803 + ... + 63732803.

It is an arithmetic number, because the mean of its divisors is an integer number (3292758422226).

Almost surely, 2^{100133312010303} is an apocalyptic number.

100133312010303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100133312010303 is a deficient number, since it is larger than the sum of its proper divisors (57919092256545).

100133312010303 is a wasteful number, since it uses less digits than its factorization.

100133312010303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604376 (or 1604365 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100133312010303 its reverse (303010213331001), we get a palindrome (403143525341304).

The spelling of 100133312010303 in words is "one hundred trillion, one hundred thirty-three billion, three hundred twelve million, ten thousand, three hundred three".