100010123130311 has 64 divisors (see below), whose sum is σ = 112046685696000. Its totient is φ = 88826622382080.

The previous prime is 100010123130299. The next prime is 100010123130319. The reversal of 100010123130311 is 113031321010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010123130311 is a prime.

It is a super-3 number, since 3×100010123130311³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100010123130311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010123130319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8994519410 + ... + 8994530528.

It is an arithmetic number, because the mean of its divisors is an integer number (1750729464000).

Almost surely, 2^{100010123130311} is an apocalyptic number.

100010123130311 is a deficient number, since it is larger than the sum of its proper divisors (12036562565689).

100010123130311 is a wasteful number, since it uses less digits than its factorization.

100010123130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12384.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100010123130311 its reverse (113031321010001), we get a palindrome (213041444140312).

The spelling of 100010123130311 in words is "one hundred trillion, ten billion, one hundred twenty-three million, one hundred thirty thousand, three hundred eleven".