10033101000131 has 16 divisors (see below), whose sum is σ = 11238916752000. Its totient is φ = 8877299745600.

The previous prime is 10033101000121. The next prime is 10033101000199. The reversal of 10033101000131 is 13100010133001.

It is a happy number.

It is not a de Polignac number, because 10033101000131 - 2³⁰ = 10032027258307 is a prime.

It is a super-2 number, since 2×10033101000131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10033101000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26357981 + ... + 26735918.

It is an arithmetic number, because the mean of its divisors is an integer number (702432297000).

Almost surely, 2^{10033101000131} is an apocalyptic number.

10033101000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10033101000131 is a deficient number, since it is larger than the sum of its proper divisors (1205815751869).

10033101000131 is a wasteful number, since it uses less digits than its factorization.

10033101000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53094370.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10033101000131 its reverse (13100010133001), we get a palindrome (23133111133132).

The spelling of 10033101000131 in words is "ten trillion, thirty-three billion, one hundred one million, one hundred thirty-one", and thus it is an aban number.