1333122113301 has 16 divisors (see below), whose sum is σ = 1980343876608. Its totient is φ = 790762310000.

The previous prime is 1333122113293. The next prime is 1333122113311. The reversal of 1333122113301 is 1033112213331.

It is not a de Polignac number, because 1333122113301 - 2³ = 1333122113293 is a prime.

It is a super-2 number, since 2×1333122113301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333122113311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429760575 + ... + 429763676.

It is an arithmetic number, because the mean of its divisors is an integer number (123771492288).

Almost surely, 2^{1333122113301} is an apocalyptic number.

1333122113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1333122113301 is a deficient number, since it is larger than the sum of its proper divisors (647221763307).

1333122113301 is a wasteful number, since it uses less digits than its factorization.

1333122113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859524312.

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

Adding to 1333122113301 its reverse (1033112213331), we get a palindrome (2366234326632).

The spelling of 1333122113301 in words is "one trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred one".