101333034 has 48 divisors (see below), whose sum is σ = 244632960. Its totient is φ = 30050880.

The previous prime is 101332999. The next prime is 101333041. The reversal of 101333034 is 430333101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101332998 and 101333016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 14750.

It is an arithmetic number, because the mean of its divisors is an integer number (5096520).

Almost surely, 2^101333034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316480).

101333034 is an abundant number, since it is smaller than the sum of its proper divisors (143299926).

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

101333034 is a wasteful number, since it uses less digits than its factorization.

101333034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955 (or 10952 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 101333034 is about 10066.4310458076. The cubic root of 101333034 is about 466.2122514223.

Adding to 101333034 its reverse (430333101), we get a palindrome (531666135).

The spelling of 101333034 in words is "one hundred one million, three hundred thirty-three thousand, thirty-four".