100313142012 has 72 divisors (see below), whose sum is σ = 263756077312. Its totient is φ = 33336586800.

The previous prime is 100313141993. The next prime is 100313142019. The reversal of 100313142012 is 210241313001.

100313142012 is a `hidden beast` number, since 100 + 3 + 131 + 420 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313142019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165837 + ... + 477627.

Almost surely, 2^100313142012 is an apocalyptic number.

100313142012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100313142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131878038656).

100313142012 is an abundant number, since it is smaller than the sum of its proper divisors (163442935300).

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

100313142012 is a wasteful number, since it uses less digits than its factorization.

100313142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312141 (or 312127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100313142012 its reverse (210241313001), we get a palindrome (310554455013).

The spelling of 100313142012 in words is "one hundred billion, three hundred thirteen million, one hundred forty-two thousand, twelve".