100310123313131 has 8 divisors (see below), whose sum is σ = 102789763188000. Its totient is φ = 97832057319360.

The previous prime is 100310123313019. The next prime is 100310123313149. The reversal of 100310123313131 is 131313321013001.

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

It is a cyclic number.

It is not a de Polignac number, because 100310123313131 - 2⁴⁶ = 29941379135467 is a prime.

It is a super-2 number, since 2×100310123313131² (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 = 100310123313097 and 100310123313106.

It is not an unprimeable number, because it can be changed into a prime (100310123313181) 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, 393341231 + ... + 393596168.

It is an arithmetic number, because the mean of its divisors is an integer number (12848720398500).

Almost surely, 2^{100310123313131} is an apocalyptic number.

100310123313131 is a deficient number, since it is larger than the sum of its proper divisors (2479639874869).

100310123313131 is an equidigital number, since it uses as much as digits as its factorization.

100310123313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786940549.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 100310123313131 its reverse (131313321013001), we get a palindrome (231623444326132).

The spelling of 100310123313131 in words is "one hundred trillion, three hundred ten billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-one".