133113321312 has 48 divisors (see below), whose sum is σ = 361471526640. Its totient is φ = 42841068032.

The previous prime is 133113321311. The next prime is 133113321323. The reversal of 133113321312 is 213123311331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113321311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23904063 + ... + 23909630.

It is an arithmetic number, because the mean of its divisors is an integer number (7530656805).

Almost surely, 2^133113321312 is an apocalyptic number.

133113321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133113321312 is an abundant number, since it is smaller than the sum of its proper divisors (228358205328).

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

133113321312 is a wasteful number, since it uses less digits than its factorization.

133113321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47813735 (or 47813727 counting only the distinct ones).

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

Adding to 133113321312 its reverse (213123311331), we get a palindrome (346236632643).

The spelling of 133113321312 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".