133233023123310 has 256 divisors, whose sum is σ = 355179303198720. Its totient is φ = 31714086243840.

The previous prime is 133233023123297. The next prime is 133233023123353. The reversal of 133233023123310 is 13321320332331.

It is a super-2 number, since 2×133233023123310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15885654937 + ... + 15885663323.

It is an arithmetic number, because the mean of its divisors is an integer number (1387419153120).

Almost surely, 2^{133233023123310} is an apocalyptic number.

133233023123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133233023123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177589651599360).

133233023123310 is an abundant number, since it is smaller than the sum of its proper divisors (221946280075410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133233023123310 is a wasteful number, since it uses less digits than its factorization.

133233023123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 133233023123310 its reverse (13321320332331), we get a palindrome (146554343455641).

The spelling of 133233023123310 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, twenty-three million, one hundred twenty-three thousand, three hundred ten".