101013020023300 has 216 divisors, whose sum is σ = 277204548398400. Its totient is φ = 31273267872000.

The previous prime is 101013020023271. The next prime is 101013020023313. The reversal of 101013020023300 is 3320020310101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8618295 + ... + 16622305.

Almost surely, 2^{101013020023300} is an apocalyptic number.

101013020023300 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 101013020023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138602274199200).

101013020023300 is an abundant number, since it is smaller than the sum of its proper divisors (176191528375100).

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

101013020023300 is a wasteful number, since it uses less digits than its factorization.

101013020023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004203 (or 8004185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101013020023300 its reverse (3320020310101), we get a palindrome (104333040333401).

The spelling of 101013020023300 in words is "one hundred one trillion, thirteen billion, twenty million, twenty-three thousand, three hundred".