133001001340032 has 256 divisors, whose sum is σ = 415766189260800. Its totient is φ = 36879342182400.

The previous prime is 133001001339971. The next prime is 133001001340061. The reversal of 133001001340032 is 230043100100331.

It is a super-2 number, since 2×133001001340032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133001001339990 and 133001001340008.

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, 17890519 + ... + 24208937.

It is an arithmetic number, because the mean of its divisors is an integer number (1624086676800).

Almost surely, 2^{133001001340032} is an apocalyptic number.

133001001340032 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 133001001340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207883094630400).

133001001340032 is an abundant number, since it is smaller than the sum of its proper divisors (282765187920768).

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

133001001340032 is a wasteful number, since it uses less digits than its factorization.

133001001340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318675 (or 6318663 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133001001340032 its reverse (230043100100331), we get a palindrome (363044101440363).

The spelling of 133001001340032 in words is "one hundred thirty-three trillion, one billion, one million, three hundred forty thousand, thirty-two".