133021006252050 has 288 divisors, whose sum is σ = 401917183368192. Its totient is φ = 28515147678720.

The previous prime is 133021006252039. The next prime is 133021006252063. The reversal of 133021006252050 is 50252600120331.

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 = 133021006251999 and 133021006252017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85101859 + ... + 86650841.

It is an arithmetic number, because the mean of its divisors is an integer number (1395545775584).

Almost surely, 2^{133021006252050} is an apocalyptic number.

133021006252050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133021006252050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200958591684096).

133021006252050 is an abundant number, since it is smaller than the sum of its proper divisors (268896177116142).

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

133021006252050 is a wasteful number, since it uses less digits than its factorization.

133021006252050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549322 (or 1549300 counting only the distinct ones).

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

Adding to 133021006252050 its reverse (50252600120331), we get a palindrome (183273606372381).

The spelling of 133021006252050 in words is "one hundred thirty-three trillion, twenty-one billion, six million, two hundred fifty-two thousand, fifty".