100312031223000 has 768 divisors, whose sum is σ = 369359348941440. Its totient is φ = 24452222976000.

The previous prime is 100312031222959. The next prime is 100312031223013. The reversal of 100312031223000 is 322130213001.

100312031223000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 120 + 312 + 230 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3232415484 + ... + 3232446516.

Almost surely, 2^{100312031223000} is an apocalyptic number.

100312031223000 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 100312031223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184679674470720).

100312031223000 is an abundant number, since it is smaller than the sum of its proper divisors (269047317718440).

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

100312031223000 is a wasteful number, since it uses less digits than its factorization.

100312031223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31685 (or 31668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100312031223000 its reverse (322130213001), we get a palindrome (100634161436001).

The spelling of 100312031223000 in words is "one hundred trillion, three hundred twelve billion, thirty-one million, two hundred twenty-three thousand".