121331333313300 has 144 divisors (see below), whose sum is σ = 384950089242432. Its totient is φ = 29261254041600.

The previous prime is 121331333313277. The next prime is 121331333313331. The reversal of 121331333313300 is 3313333133121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94614579 + ... + 95888378.

It is an arithmetic number, because the mean of its divisors is an integer number (2673264508628).

Almost surely, 2^{121331333313300} is an apocalyptic number.

121331333313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121331333313300 is an abundant number, since it is smaller than the sum of its proper divisors (263618755929132).

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

121331333313300 is a wasteful number, since it uses less digits than its factorization.

121331333313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190503178 (or 190503171 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 121331333313300 its reverse (3313333133121), we get a palindrome (124644666446421).

The spelling of 121331333313300 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, three hundred thirty-three million, three hundred thirteen thousand, three hundred".