100131132412014 has 96 divisors (see below), whose sum is σ = 222687787720608. Its totient is φ = 29990264832000.

The previous prime is 100131132412013. The next prime is 100131132412063. The reversal of 100131132412014 is 410214231131001.

It is a super-2 number, since 2×100131132412014² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131132412013) 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 47 ways as a sum of consecutive naturals, for example, 41125774 + ... + 43492430.

It is an arithmetic number, because the mean of its divisors is an integer number (2319664455423).

Almost surely, 2^{100131132412014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131132412014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111343893860304).

100131132412014 is an abundant number, since it is smaller than the sum of its proper divisors (122556655308594).

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

100131132412014 is a wasteful number, since it uses less digits than its factorization.

100131132412014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367362 (or 2367351 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100131132412014 its reverse (410214231131001), we get a palindrome (510345363543015).

The spelling of 100131132412014 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, four hundred twelve thousand, fourteen".