100313123211301 has 24 divisors (see below), whose sum is σ = 137091261301344. Its totient is φ = 72153295411680.

The previous prime is 100313123211281. The next prime is 100313123211391. The reversal of 100313123211301 is 103112321313001.

It is not a de Polignac number, because 100313123211301 - 2¹³ = 100313123203109 is a prime.

It is a super-2 number, since 2×100313123211301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313123211391) 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 23 ways as a sum of consecutive naturals, for example, 7158058015 + ... + 7158072028.

It is an arithmetic number, because the mean of its divisors is an integer number (5712135887556).

Almost surely, 2^{100313123211301} is an apocalyptic number.

100313123211301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100313123211301 is a deficient number, since it is larger than the sum of its proper divisors (36778138090043).

100313123211301 is a wasteful number, since it uses less digits than its factorization.

100313123211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14316130081 (or 14316130074 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100313123211301 its reverse (103112321313001), we get a palindrome (203425444524302).

The spelling of 100313123211301 in words is "one hundred trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred eleven thousand, three hundred one".