100313141310 has 128 divisors (see below), whose sum is σ = 268954680960. Its totient is φ = 26605283328.

The previous prime is 100313141309. The next prime is 100313141441. The reversal of 100313141310 is 13141313001.

100313141310 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 1 + 41 + 310 = 666.

It is a super-2 number, since 2×100313141310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53556534 + ... + 53558406.

It is an arithmetic number, because the mean of its divisors is an integer number (2101208445).

Almost surely, 2^100313141310 is an apocalyptic number.

100313141310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134477340480).

100313141310 is an abundant number, since it is smaller than the sum of its proper divisors (168641539650).

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

100313141310 is a wasteful number, since it uses less digits than its factorization.

100313141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100313141310 its reverse (13141313001), we get a palindrome (113454454311).

The spelling of 100313141310 in words is "one hundred billion, three hundred thirteen million, one hundred forty-one thousand, three hundred ten".