101331302123103 has 48 divisors (see below), whose sum is σ = 152691819448320. Its totient is φ = 59634758781312.

The previous prime is 101331302123017. The next prime is 101331302123111. The reversal of 101331302123103 is 301321203133101.

It is not a de Polignac number, because 101331302123103 - 2²⁶ = 101331235014239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331302123113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58465393 + ... + 60173621.

It is an arithmetic number, because the mean of its divisors is an integer number (3181079571840).

Almost surely, 2^{101331302123103} is an apocalyptic number.

101331302123103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101331302123103 is a deficient number, since it is larger than the sum of its proper divisors (51360517325217).

101331302123103 is a wasteful number, since it uses less digits than its factorization.

101331302123103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713368 (or 1713355 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101331302123103 its reverse (301321203133101), we get a palindrome (402652505256204).

The spelling of 101331302123103 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred two million, one hundred twenty-three thousand, one hundred three".