133021001133020 has 576 divisors, whose sum is σ = 385879232212992. Its totient is φ = 37386385920000.

The previous prime is 133021001132941. The next prime is 133021001133023. The reversal of 133021001133020 is 20331100120331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133021001132983 and 133021001133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021001133023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6617620970 + ... + 6617641070.

It is an arithmetic number, because the mean of its divisors is an integer number (669929222592).

Almost surely, 2^{133021001133020} is an apocalyptic number.

133021001133020 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 133021001133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192939616106496).

133021001133020 is an abundant number, since it is smaller than the sum of its proper divisors (252858231079972).

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

133021001133020 is a wasteful number, since it uses less digits than its factorization.

133021001133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20742 (or 20727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133021001133020 its reverse (20331100120331), we get a palindrome (153352101253351).

The spelling of 133021001133020 in words is "one hundred thirty-three trillion, twenty-one billion, one million, one hundred thirty-three thousand, twenty".