100233003133113 has 32 divisors (see below), whose sum is σ = 134910345897600. Its totient is φ = 66192195340800.

The previous prime is 100233003133091. The next prime is 100233003133181. The reversal of 100233003133113 is 311331300332001.

It is not a de Polignac number, because 100233003133113 - 2¹⁸ = 100233002870969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100233003833113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155775693 + ... + 156417813.

It is an arithmetic number, because the mean of its divisors is an integer number (4215948309300).

Almost surely, 2^{100233003133113} is an apocalyptic number.

It is an amenable number.

100233003133113 is a deficient number, since it is larger than the sum of its proper divisors (34677342764487).

100233003133113 is a wasteful number, since it uses less digits than its factorization.

100233003133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643433.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 100233003133113 its reverse (311331300332001), we get a palindrome (411564303465114).

The spelling of 100233003133113 in words is "one hundred trillion, two hundred thirty-three billion, three million, one hundred thirty-three thousand, one hundred thirteen".