133413315252 has 96 divisors (see below), whose sum is σ = 371792289792. Its totient is φ = 36406250496.

The previous prime is 133413315251. The next prime is 133413315331. The reversal of 133413315252 is 252513314331.

It is a super-2 number, since 2×133413315252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133413315251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1248933 + ... + 1351539.

It is an arithmetic number, because the mean of its divisors is an integer number (3872836352).

Almost surely, 2^133413315252 is an apocalyptic number.

133413315252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133413315252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185896144896).

133413315252 is an abundant number, since it is smaller than the sum of its proper divisors (238378974540).

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

133413315252 is a wasteful number, since it uses less digits than its factorization.

133413315252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103317 (or 103315 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

Adding to 133413315252 its reverse (252513314331), we get a palindrome (385926629583).

The spelling of 133413315252 in words is "one hundred thirty-three billion, four hundred thirteen million, three hundred fifteen thousand, two hundred fifty-two".