100133013030000 has 400 divisors, whose sum is σ = 329318719276800. Its totient is φ = 26203896576000.

The previous prime is 100133013029989. The next prime is 100133013030059. The reversal of 100133013030000 is 30310331001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×100133013030000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 435695119 + ... + 435924881.

It is an arithmetic number, because the mean of its divisors is an integer number (823296798192).

Almost surely, 2^{100133013030000} is an apocalyptic number.

100133013030000 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 100133013030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164659359638400).

100133013030000 is an abundant number, since it is smaller than the sum of its proper divisors (229185706246800).

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

100133013030000 is a wasteful number, since it uses less digits than its factorization.

100133013030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230066 (or 230045 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100133013030000 its reverse (30310331001), we get a palindrome (100163323361001).

The spelling of 100133013030000 in words is "one hundred trillion, one hundred thirty-three billion, thirteen million, thirty thousand".