100033313033000 has 128 divisors (see below), whose sum is σ = 235723505940000. Its totient is φ = 39732204083200.

The previous prime is 100033313032993. The next prime is 100033313033029. The reversal of 100033313033000 is 330313330001.

It can be written as a sum of positive squares in 16 ways, for example, as 43085492114116 + 56947820918884 = 6563954^2 + 7546378^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478036394 + ... + 478245606.

Almost surely, 2^{100033313033000} is an apocalyptic number.

100033313033000 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 100033313033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117861752970000).

100033313033000 is an abundant number, since it is smaller than the sum of its proper divisors (135690192907000).

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

100033313033000 is a wasteful number, since it uses less digits than its factorization.

100033313033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212592 (or 212578 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 100033313033000 its reverse (330313330001), we get a palindrome (100363626363001).

The spelling of 100033313033000 in words is "one hundred trillion, thirty-three billion, three hundred thirteen million, thirty-three thousand".