100314010013331 has 8 divisors (see below), whose sum is σ = 134110597838800. Its totient is φ = 66696714431712.

The previous prime is 100314010013309. The next prime is 100314010013333. The reversal of 100314010013331 is 133310010413001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100314010013331 - 2¹⁵ = 100314009980563 is a prime.

It is a super-2 number, since 2×100314010013331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100314010013298 and 100314010013307.

It is not an unprimeable number, because it can be changed into a prime (100314010013333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44823059656 + ... + 44823061893.

It is an arithmetic number, because the mean of its divisors is an integer number (16763824729850).

Almost surely, 2^{100314010013331} is an apocalyptic number.

100314010013331 is a deficient number, since it is larger than the sum of its proper divisors (33796587825469).

100314010013331 is an equidigital number, since it uses as much as digits as its factorization.

100314010013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89646121925.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100314010013331 its reverse (133310010413001), we get a palindrome (233624020426332).

The spelling of 100314010013331 in words is "one hundred trillion, three hundred fourteen billion, ten million, thirteen thousand, three hundred thirty-one".