10033101013032 has 32 divisors (see below), whose sum is σ = 27869725036800. Its totient is φ = 3344367004272.

The previous prime is 10033101013031. The next prime is 10033101013097. The reversal of 10033101013032 is 23031010133001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033101012996 and 10033101013014.

It is not an unprimeable number, because it can be changed into a prime (10033101013031) 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 7 ways as a sum of consecutive naturals, for example, 23224770648 + ... + 23224771079.

It is an arithmetic number, because the mean of its divisors is an integer number (870928907400).

Almost surely, 2^{10033101013032} is an apocalyptic number.

10033101013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033101013032 is an abundant number, since it is smaller than the sum of its proper divisors (17836624023768).

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

10033101013032 is a wasteful number, since it uses less digits than its factorization.

10033101013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46449541742 (or 46449541732 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033101013032 its reverse (23031010133001), we get a palindrome (33064111146033).

The spelling of 10033101013032 in words is "ten trillion, thirty-three billion, one hundred one million, thirteen thousand, thirty-two".