101013333300000 has 864 divisors, whose sum is σ = 393959341863360. Its totient is φ = 24346118400000.

The previous prime is 101013333299981. The next prime is 101013333300017. The reversal of 101013333300000 is 3333310101.

101013333300000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 333 + 330 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1712670511 + ... + 1712729489.

It is an arithmetic number, because the mean of its divisors is an integer number (455971460490).

Almost surely, 2^{101013333300000} is an apocalyptic number.

101013333300000 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 101013333300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196979670931680).

101013333300000 is an abundant number, since it is smaller than the sum of its proper divisors (292946008563360).

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

101013333300000 is a wasteful number, since it uses less digits than its factorization.

101013333300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59204 (or 59173 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 101013333300000 its reverse (3333310101), we get a palindrome (101016666610101).

The spelling of 101013333300000 in words is "one hundred one trillion, thirteen billion, three hundred thirty-three million, three hundred thousand".