100301300313123 has 32 divisors (see below), whose sum is σ = 164597930560000. Its totient is φ = 52905883090176.

The previous prime is 100301300313101. The next prime is 100301300313167. The reversal of 100301300313123 is 321313003103001.

It is not a de Polignac number, because 100301300313123 - 2³⁸ = 100026422406179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100301300313123.

It is not an unprimeable number, because it can be changed into a prime (100301300313173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52764903 + ... + 54632751.

It is an arithmetic number, because the mean of its divisors is an integer number (5143685330000).

Almost surely, 2^{100301300313123} is an apocalyptic number.

100301300313123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100301300313123 is a deficient number, since it is larger than the sum of its proper divisors (64296630246877).

100301300313123 is a wasteful number, since it uses less digits than its factorization.

100301300313123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064571.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100301300313123 its reverse (321313003103001), we get a palindrome (421614303416124).

The spelling of 100301300313123 in words is "one hundred trillion, three hundred one billion, three hundred million, three hundred thirteen thousand, one hundred twenty-three".