100303101312 has 64 divisors (see below), whose sum is σ = 266509210800. Its totient is φ = 33424441344.

The previous prime is 100303101277. The next prime is 100303101341. The reversal of 100303101312 is 213101303001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100303101312² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100303101291 and 100303101300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1318128 + ... + 1392144.

Almost surely, 2^100303101312 is an apocalyptic number.

100303101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100303101312 is an abundant number, since it is smaller than the sum of its proper divisors (166206109488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100303101312 is an equidigital number, since it uses as much as digits as its factorization.

100303101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77563 (or 77551 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100303101312 its reverse (213101303001), we get a palindrome (313404404313).

The spelling of 100303101312 in words is "one hundred billion, three hundred three million, one hundred one thousand, three hundred twelve".