133031121300 has 432 divisors, whose sum is σ = 525735100800. Its totient is φ = 27330969600.

The previous prime is 133031121229. The next prime is 133031121317. The reversal of 133031121300 is 3121130331.

It is a happy number.

133031121300 is a `hidden beast` number, since 1 + 3 + 30 + 311 + 21 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 6156916 + ... + 6178484.

It is an arithmetic number, because the mean of its divisors is an integer number (1216979400).

Almost surely, 2^133031121300 is an apocalyptic number.

133031121300 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 133031121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262867550400).

133031121300 is an abundant number, since it is smaller than the sum of its proper divisors (392703979500).

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

133031121300 is a wasteful number, since it uses less digits than its factorization.

133031121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21696 (or 21686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133031121300 its reverse (3121130331), we get a palindrome (136152251631).

The spelling of 133031121300 in words is "one hundred thirty-three billion, thirty-one million, one hundred twenty-one thousand, three hundred".