10213313330133 has 128 divisors (see below), whose sum is σ = 16121825280000. Its totient is φ = 6381501719040.

The previous prime is 10213313330113. The next prime is 10213313330183. The reversal of 10213313330133 is 33103331331201.

10213313330133 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 313 + 330 + 13 + 3 = 666.

It is not a de Polignac number, because 10213313330133 - 2²⁵ = 10213279775701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10213313330097 and 10213313330106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213313330113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2196881593 + ... + 2196886241.

It is an arithmetic number, because the mean of its divisors is an integer number (125951760000).

Almost surely, 2^{10213313330133} is an apocalyptic number.

It is an amenable number.

10213313330133 is a deficient number, since it is larger than the sum of its proper divisors (5908511949867).

10213313330133 is a wasteful number, since it uses less digits than its factorization.

10213313330133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 10213313330133 its reverse (33103331331201), we get a palindrome (43316644661334).

The spelling of 10213313330133 in words is "ten trillion, two hundred thirteen billion, three hundred thirteen million, three hundred thirty thousand, one hundred thirty-three".