121313213100 has 108 divisors (see below), whose sum is σ = 380583141120. Its totient is φ = 32321808000.

The previous prime is 121313213089. The next prime is 121313213113. The reversal of 121313213100 is 1312313121.

121313213100 is a `hidden beast` number, since 1 + 2 + 1 + 31 + 321 + 310 + 0 = 666.

121313213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121313213100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 977346 + ... + 1094454.

Almost surely, 2^121313213100 is an apocalyptic number.

121313213100 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 121313213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190291570560).

121313213100 is an abundant number, since it is smaller than the sum of its proper divisors (259269928020).

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

121313213100 is a wasteful number, since it uses less digits than its factorization.

121313213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118280 (or 118270 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121313213100 its reverse (1312313121), we get a palindrome (122625526221).

The spelling of 121313213100 in words is "one hundred twenty-one billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".