102133302311133 has 24 divisors (see below), whose sum is σ = 148466713251168. Its totient is φ = 67654644868512.

The previous prime is 102133302311113. The next prime is 102133302311137. The reversal of 102133302311133 is 331113203331201.

102133302311133 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 330 + 2 + 311 + 13 + 3 = 666.

It is not a de Polignac number, because 102133302311133 - 2⁵ = 102133302311101 is a prime.

It is a super-2 number, since 2×102133302311133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133302311097 and 102133302311106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133302311137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264811210 + ... + 265196612.

It is an arithmetic number, because the mean of its divisors is an integer number (6186113052132).

Almost surely, 2^{102133302311133} is an apocalyptic number.

It is an amenable number.

102133302311133 is a deficient number, since it is larger than the sum of its proper divisors (46333410940035).

102133302311133 is a wasteful number, since it uses less digits than its factorization.

102133302311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573113 (or 573110 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102133302311133 its reverse (331113203331201), we get a palindrome (433246505642334).

The spelling of 102133302311133 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred two million, three hundred eleven thousand, one hundred thirty-three".