100131641306312 has 96 divisors (see below), whose sum is σ = 236024471108160. Its totient is φ = 39012324267840.

The previous prime is 100131641306267. The next prime is 100131641306357. The reversal of 100131641306312 is 213603146131001.

It is an interprime number because it is at equal distance from previous prime (100131641306267) and next prime (100131641306357).

It is a super-2 number, since 2×100131641306312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3467618 + ... + 14570094.

It is an arithmetic number, because the mean of its divisors is an integer number (2458588240710).

Almost surely, 2^{100131641306312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131641306312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118012235554080).

100131641306312 is an abundant number, since it is smaller than the sum of its proper divisors (135892829801848).

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

100131641306312 is an frugal number, since it uses more digits than its factorization.

100131641306312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102545 (or 11102497 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 100131641306312 its reverse (213603146131001), we get a palindrome (313734787437313).

The spelling of 100131641306312 in words is "one hundred trillion, one hundred thirty-one billion, six hundred forty-one million, three hundred six thousand, three hundred twelve".