100312220310003 has 60 divisors (see below), whose sum is σ = 163112202684288. Its totient is φ = 61407398669760.

The previous prime is 100312220309957. The next prime is 100312220310011. The reversal of 100312220310003 is 300013022213001.

100312220310003 is a `hidden beast` number, since 100 + 31 + 2 + 220 + 310 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 100312220310003 - 2⁹ = 100312220309491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312220310503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16568500 + ... + 21797697.

Almost surely, 2^{100312220310003} is an apocalyptic number.

100312220310003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100312220310003 is a deficient number, since it is larger than the sum of its proper divisors (62799982374285).

100312220310003 is a wasteful number, since it uses less digits than its factorization.

100312220310003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38366426 (or 38366404 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100312220310003 its reverse (300013022213001), we get a palindrome (400325242523004).

The spelling of 100312220310003 in words is "one hundred trillion, three hundred twelve billion, two hundred twenty million, three hundred ten thousand, three".