100131221313123 has 384 divisors, whose sum is σ = 188238645245952. Its totient is φ = 45682237440000.

The previous prime is 100131221313121. The next prime is 100131221313247. The reversal of 100131221313123 is 321313122131001.

It is not a de Polignac number, because 100131221313123 - 2¹ = 100131221313121 is a prime.

It is a super-2 number, since 2×100131221313123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131221313093 and 100131221313102.

It is not an unprimeable number, because it can be changed into a prime (100131221313121) 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 383 ways as a sum of consecutive naturals, for example, 356338865743 + ... + 356338866023.

It is an arithmetic number, because the mean of its divisors is an integer number (490204805328).

Almost surely, 2^{100131221313123} is an apocalyptic number.

100131221313123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100131221313123 is a deficient number, since it is larger than the sum of its proper divisors (88107423932829).

100131221313123 is a wasteful number, since it uses less digits than its factorization.

100131221313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100131221313123 its reverse (321313122131001), we get a palindrome (421444343444124).

The spelling of 100131221313123 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-three".