101123133331203 has 16 divisors (see below), whose sum is σ = 149812301875200. Its totient is φ = 67415308597800.

The previous prime is 101123133331177. The next prime is 101123133331249. The reversal of 101123133331203 is 302133331321101.

101123133331203 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 313 + 33 + 312 + 0 + 3 = 666.

It is not a de Polignac number, because 101123133331203 - 2¹⁸ = 101123133069059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101123133331303) 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 15 ways as a sum of consecutive naturals, for example, 15074958 + ... + 20724396.

It is an arithmetic number, because the mean of its divisors is an integer number (9363268867200).

Almost surely, 2^{101123133331203} is an apocalyptic number.

101123133331203 is a deficient number, since it is larger than the sum of its proper divisors (48689168543997).

101123133331203 is an equidigital number, since it uses as much as digits as its factorization.

101123133331203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312399 (or 6312393 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 101123133331203 its reverse (302133331321101), we get a palindrome (403256464652304).

The spelling of 101123133331203 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred thirty-one thousand, two hundred three".