101333398752 has 36 divisors (see below), whose sum is σ = 288166853520. Its totient is φ = 33777799488.

The previous prime is 101333398709. The next prime is 101333398753. The reversal of 101333398752 is 257893333101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101333398698 and 101333398707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333398753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175925752 + ... + 175926327.

It is an arithmetic number, because the mean of its divisors is an integer number (8004634820).

Almost surely, 2^101333398752 is an apocalyptic number.

101333398752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101333398752 is an abundant number, since it is smaller than the sum of its proper divisors (186833454768).

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

101333398752 is a wasteful number, since it uses less digits than its factorization.

101333398752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351852095 (or 351852084 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 101333398752 in words is "one hundred one billion, three hundred thirty-three million, three hundred ninety-eight thousand, seven hundred fifty-two".