100313233020000 has 5760 divisors, whose sum is σ = 504911090331648. Its totient is φ = 18214502400000.

The previous prime is 100313233019941. The next prime is 100313233020047. The reversal of 100313233020000 is 20332313001.

100313233020000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 132 + 330 + 200 + 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 959 ways as a sum of consecutive naturals, for example, 273333059817 + ... + 273333060183.

Almost surely, 2^{100313233020000} is an apocalyptic number.

100313233020000 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 100313233020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252455545165824).

100313233020000 is an abundant number, since it is smaller than the sum of its proper divisors (404597857311648).

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

100313233020000 is a wasteful number, since it uses less digits than its factorization.

100313233020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100313233020000 its reverse (20332313001), we get a palindrome (100333565333001).

The spelling of 100313233020000 in words is "one hundred trillion, three hundred thirteen billion, two hundred thirty-three million, twenty thousand".