121333131101020 has 48 divisors (see below), whose sum is σ = 257443984445760. Its totient is φ = 48029623916544.

The previous prime is 121333131101011. The next prime is 121333131101023. The reversal of 121333131101020 is 20101131333121.

It is a junction number, because it is equal to n+sod(n) for n = 121333131100982 and 121333131101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121333131101023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26326057 + ... + 30589663.

It is an arithmetic number, because the mean of its divisors is an integer number (5363416342620).

Almost surely, 2^{121333131101020} is an apocalyptic number.

121333131101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121333131101020 is an abundant number, since it is smaller than the sum of its proper divisors (136110853344740).

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

121333131101020 is a wasteful number, since it uses less digits than its factorization.

121333131101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278382 (or 4278380 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 121333131101020 its reverse (20101131333121), we get a palindrome (141434262434141).

The spelling of 121333131101020 in words is "one hundred twenty-one trillion, three hundred thirty-three billion, one hundred thirty-one million, one hundred one thousand, twenty".