10031021300133 has 24 divisors (see below), whose sum is σ = 14494311444600. Its totient is φ = 6685013301120.

The previous prime is 10031021300099. The next prime is 10031021300161. The reversal of 10031021300133 is 33100312013001.

It is a happy number.

10031021300133 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 21 + 300 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2073781443969 + 7957239856164 = 1440063^2 + 2820858^2 .

It is not a de Polignac number, because 10031021300133 - 2³⁸ = 9756143393189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031021304133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 505254835 + ... + 505274687.

It is an arithmetic number, because the mean of its divisors is an integer number (603929643525).

Almost surely, 2^{10031021300133} is an apocalyptic number.

It is an amenable number.

10031021300133 is a deficient number, since it is larger than the sum of its proper divisors (4463290144467).

10031021300133 is a wasteful number, since it uses less digits than its factorization.

10031021300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36629 (or 36626 counting only the distinct ones).

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

Adding to 10031021300133 its reverse (33100312013001), we get a palindrome (43131333313134).

The spelling of 10031021300133 in words is "ten trillion, thirty-one billion, twenty-one million, three hundred thousand, one hundred thirty-three".