130021320133 has 16 divisors (see below), whose sum is σ = 140984141760. Its totient is φ = 119431339776.

The previous prime is 130021320089. The next prime is 130021320137. The reversal of 130021320133 is 331023120031.

It is not a de Polignac number, because 130021320133 - 2¹⁷ = 130021189061 is a prime.

It is a super-2 number, since 2×130021320133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130021320133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130021320137) 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 15 ways as a sum of consecutive naturals, for example, 849691 + ... + 990967.

It is an arithmetic number, because the mean of its divisors is an integer number (8811508860).

Almost surely, 2^130021320133 is an apocalyptic number.

It is an amenable number.

130021320133 is a deficient number, since it is larger than the sum of its proper divisors (10962821627).

130021320133 is a wasteful number, since it uses less digits than its factorization.

130021320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142596.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130021320133 its reverse (331023120031), we get a palindrome (461044440164).

The spelling of 130021320133 in words is "one hundred thirty billion, twenty-one million, three hundred twenty thousand, one hundred thirty-three".