121313113100 has 72 divisors (see below), whose sum is σ = 265191360000. Its totient is φ = 48167784000.

The previous prime is 121313113087. The next prime is 121313113121. The reversal of 121313113100 is 1311313121.

It is a super-3 number, since 3×121313113100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30182891 + ... + 30186909.

Almost surely, 2^121313113100 is an apocalyptic number.

121313113100 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 121313113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132595680000).

121313113100 is an abundant number, since it is smaller than the sum of its proper divisors (143878246900).

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

121313113100 is a wasteful number, since it uses less digits than its factorization.

121313113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 121313113100 its reverse (1311313121), we get a palindrome (122624426221).

The spelling of 121313113100 in words is "one hundred twenty-one billion, three hundred thirteen million, one hundred thirteen thousand, one hundred".