10133022211013 has 32 divisors (see below), whose sum is σ = 11303038857600. Its totient is φ = 9025895414016.

The previous prime is 10133022210991. The next prime is 10133022211097. The reversal of 10133022211013 is 31011222033101.

It is a happy number.

It is not a de Polignac number, because 10133022211013 - 2⁸ = 10133022210757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133022811013) 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 31 ways as a sum of consecutive naturals, for example, 9753083 + ... + 10741911.

It is an arithmetic number, because the mean of its divisors is an integer number (353219964300).

Almost surely, 2^{10133022211013} is an apocalyptic number.

10133022211013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10133022211013 is a deficient number, since it is larger than the sum of its proper divisors (1170016646587).

10133022211013 is a wasteful number, since it uses less digits than its factorization.

10133022211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989141.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10133022211013 its reverse (31011222033101), we get a palindrome (41144244244114).

The spelling of 10133022211013 in words is "ten trillion, one hundred thirty-three billion, twenty-two million, two hundred eleven thousand, thirteen".