330133012101123 has 96 divisors (see below), whose sum is σ = 567057919868928. Its totient is φ = 168899766235200.

The previous prime is 330133012101097. The next prime is 330133012101157. The reversal of 330133012101123 is 321101210331033.

It is not a de Polignac number, because 330133012101123 - 2³⁸ = 329858134194179 is a prime.

It is a super-2 number, since 2×330133012101123² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330133012101093 and 330133012101102.

It is not an unprimeable number, because it can be changed into a prime (330133012103123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481440918 + ... + 482126148.

It is an arithmetic number, because the mean of its divisors is an integer number (5906853331968).

Almost surely, 2^{330133012101123} is an apocalyptic number.

330133012101123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

330133012101123 is a deficient number, since it is larger than the sum of its proper divisors (236924907767805).

330133012101123 is a wasteful number, since it uses less digits than its factorization.

330133012101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689773 (or 689766 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 330133012101123 its reverse (321101210331033), we get a palindrome (651234222432156).

The spelling of 330133012101123 in words is "three hundred thirty trillion, one hundred thirty-three billion, twelve million, one hundred one thousand, one hundred twenty-three".