102233000310133 has 16 divisors (see below), whose sum is σ = 127563543760896. Its totient is φ = 79596941477040.

The previous prime is 102233000310113. The next prime is 102233000310179. The reversal of 102233000310133 is 331013000332201.

It is a cyclic number.

It is not a de Polignac number, because 102233000310133 - 2⁵ = 102233000310101 is a prime.

It is a super-4 number, since 4×102233000310133⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233000310113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542710941 + ... + 542899282.

It is an arithmetic number, because the mean of its divisors is an integer number (7972721485056).

Almost surely, 2^{102233000310133} is an apocalyptic number.

It is an amenable number.

102233000310133 is a deficient number, since it is larger than the sum of its proper divisors (25330543450763).

102233000310133 is a wasteful number, since it uses less digits than its factorization.

102233000310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085611464.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 102233000310133 its reverse (331013000332201), we get a palindrome (433246000642334).

The spelling of 102233000310133 in words is "one hundred two trillion, two hundred thirty-three billion, three hundred ten thousand, one hundred thirty-three".