101333052 has 48 divisors (see below), whose sum is σ = 266334880. Its totient is φ = 33312384.

The previous prime is 101333051. The next prime is 101333083. The reversal of 101333052 is 250333101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458 + ... + 14310.

Almost surely, 2^101333052 is an apocalyptic number.

101333052 is a gapful number since it is divisible by the number (12) 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 101333052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133167440).

101333052 is an abundant number, since it is smaller than the sum of its proper divisors (165001828).

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

101333052 is a wasteful number, since it uses less digits than its factorization.

101333052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 101333052 is about 10066.4319398683. The cubic root of 101333052 is about 466.2122790271.

Adding to 101333052 its reverse (250333101), we get a palindrome (351666153).

The spelling of 101333052 in words is "one hundred one million, three hundred thirty-three thousand, fifty-two".