133111314 has 48 divisors (see below), whose sum is σ = 330862272. Its totient is φ = 37887264.

The previous prime is 133111301. The next prime is 133111331. The reversal of 133111314 is 413111331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33792 + ... + 37524.

It is an arithmetic number, because the mean of its divisors is an integer number (6892964).

Almost surely, 2^133111314 is an apocalyptic number.

133111314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165431136).

133111314 is an abundant number, since it is smaller than the sum of its proper divisors (197750958).

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

133111314 is a wasteful number, since it uses less digits than its factorization.

133111314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4028 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 133111314 is about 11537.3876592581. The cubic root of 133111314 is about 510.5892382120.

Adding to 133111314 its reverse (413111331), we get a palindrome (546222645).

The spelling of 133111314 in words is "one hundred thirty-three million, one hundred eleven thousand, three hundred fourteen".