33010142042010 has 128 divisors (see below), whose sum is σ = 90765104947200. Its totient is φ = 7526596930560.

The previous prime is 33010142041979. The next prime is 33010142042027. The reversal of 33010142042010 is 1024024101033.

It is a super-2 number, since 2×33010142042010² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757456401 + ... + 757499979.

It is an arithmetic number, because the mean of its divisors is an integer number (709102382400).

Almost surely, 2^{33010142042010} is an apocalyptic number.

33010142042010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33010142042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45382552473600).

33010142042010 is an abundant number, since it is smaller than the sum of its proper divisors (57754962905190).

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

33010142042010 is a wasteful number, since it uses less digits than its factorization.

33010142042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52396.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 33010142042010 its reverse (1024024101033), we get a palindrome (34034166143043).

The spelling of 33010142042010 in words is "thirty-three trillion, ten billion, one hundred forty-two million, forty-two thousand, ten".