101131123330003 has 16 divisors (see below), whose sum is σ = 109562105430400. Its totient is φ = 93345650199360.

The previous prime is 101131123329961. The next prime is 101131123330019. The reversal of 101131123330003 is 300033321131101.

It is not a de Polignac number, because 101131123330003 - 2⁹ = 101131123329491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131123330063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31974358 + ... + 34994596.

It is an arithmetic number, because the mean of its divisors is an integer number (6847631589400).

Almost surely, 2^{101131123330003} is an apocalyptic number.

101131123330003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101131123330003 is a deficient number, since it is larger than the sum of its proper divisors (8430982100397).

101131123330003 is an equidigital number, since it uses as much as digits as its factorization.

101131123330003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035519 (or 3035493 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101131123330003 its reverse (300033321131101), we get a palindrome (401164444461104).

The spelling of 101131123330003 in words is "one hundred one trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred thirty thousand, three".