100312321131000 has 512 divisors, whose sum is σ = 399329453952000. Its totient is φ = 23038235136000.

The previous prime is 100312321130993. The next prime is 100312321131049. The reversal of 100312321131000 is 131123213001.

100312321131000 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 2 + 321 + 1 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×100312321131000² (a number of 29 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3245209 + ... + 14531208.

It is an arithmetic number, because the mean of its divisors is an integer number (779940339750).

Almost surely, 2^{100312321131000} is an apocalyptic number.

100312321131000 is a gapful number since it is divisible by the number (10) 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 100312321131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199664726976000).

100312321131000 is an abundant number, since it is smaller than the sum of its proper divisors (299017132821000).

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

100312321131000 is a wasteful number, since it uses less digits than its factorization.

100312321131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17776477 (or 17776457 counting only the distinct ones).

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

Adding to 100312321131000 its reverse (131123213001), we get a palindrome (100443444344001).

The spelling of 100312321131000 in words is "one hundred trillion, three hundred twelve billion, three hundred twenty-one million, one hundred thirty-one thousand".