133312501502040 has 384 divisors, whose sum is σ = 485602615296000. Its totient is φ = 29138079624192.

The previous prime is 133312501501999. The next prime is 133312501502077. The reversal of 133312501502040 is 40205105213331.

It is a super-2 number, since 2×133312501502040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133312501501989 and 133312501502007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469005481 + ... + 469289639.

It is an arithmetic number, because the mean of its divisors is an integer number (1264590144000).

Almost surely, 2^{133312501502040} is an apocalyptic number.

133312501502040 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 133312501502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242801307648000).

133312501502040 is an abundant number, since it is smaller than the sum of its proper divisors (352290113793960).

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

133312501502040 is a wasteful number, since it uses less digits than its factorization.

133312501502040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287679 (or 287668 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 133312501502040 its reverse (40205105213331), we get a palindrome (173517606715371).

The spelling of 133312501502040 in words is "one hundred thirty-three trillion, three hundred twelve billion, five hundred one million, five hundred two thousand, forty".