133333103031000 has 256 divisors, whose sum is σ = 419321894584320. Its totient is φ = 35271573120000.

The previous prime is 133333103030993. The next prime is 133333103031031. The reversal of 133333103031000 is 130301333331.

It is a super-2 number, since 2×133333103031000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5216258220 + ... + 5216283780.

It is an arithmetic number, because the mean of its divisors is an integer number (1637976150720).

Almost surely, 2^{133333103031000} is an apocalyptic number.

133333103031000 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 133333103031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209660947292160).

133333103031000 is an abundant number, since it is smaller than the sum of its proper divisors (285988791553320).

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

133333103031000 is a wasteful number, since it uses less digits than its factorization.

133333103031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39403 (or 39389 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 133333103031000 its reverse (130301333331), we get a palindrome (133463404364331).

The spelling of 133333103031000 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, one hundred three million, thirty-one thousand".