133431314243000 has 128 divisors (see below), whose sum is σ = 313296002323200. Its totient is φ = 53190306576000.

The previous prime is 133431314242999. The next prime is 133431314243039. The reversal of 133431314243000 is 342413134331.

It is a happy number.

It is a super-2 number, since 2×133431314243000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853570847 + ... + 853727153.

It is an arithmetic number, because the mean of its divisors is an integer number (2447625018150).

Almost surely, 2^{133431314243000} is an apocalyptic number.

133431314243000 is a gapful number since it is divisible by the number (10) 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 133431314243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156648001161600).

133431314243000 is an abundant number, since it is smaller than the sum of its proper divisors (179864688080200).

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

133431314243000 is a wasteful number, since it uses less digits than its factorization.

133431314243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159238 (or 159224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 133431314243000 its reverse (342413134331), we get a palindrome (133773727377331).

The spelling of 133431314243000 in words is "one hundred thirty-three trillion, four hundred thirty-one billion, three hundred fourteen million, two hundred forty-three thousand".