133321464123331 has 24 divisors (see below), whose sum is σ = 149635186010352. Its totient is φ = 118668475411200.

The previous prime is 133321464123317. The next prime is 133321464123383.

133321464123331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133321464123331 - 2¹¹ = 133321464121283 is a prime.

It is a super-2 number, since 2×133321464123331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133321464123431) 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, 53875885 + ... + 56296126.

It is an arithmetic number, because the mean of its divisors is an integer number (6234799417098).

Almost surely, 2^{133321464123331} is an apocalyptic number.

133321464123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133321464123331 is a deficient number, since it is larger than the sum of its proper divisors (16313721887021).

133321464123331 is a wasteful number, since it uses less digits than its factorization.

133321464123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110172243 (or 110172232 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 133321464123331 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, four hundred sixty-four million, one hundred twenty-three thousand, three hundred thirty-one".