121313132100 has 216 divisors, whose sum is σ = 394923863880. Its totient is φ = 31121418240.

The previous prime is 121313132051. The next prime is 121313132111. The reversal of 121313132100 is 1231313121.

121313132100 is a `hidden beast` number, since 1 + 213 + 131 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 37092448836 + 84220683264 = 192594^2 + 290208^2 .

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 71 ways as a sum of consecutive naturals, for example, 2943234 + ... + 2984166.

Almost surely, 2^121313132100 is an apocalyptic number.

121313132100 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 121313132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197461931940).

121313132100 is an abundant number, since it is smaller than the sum of its proper divisors (273610731780).

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

121313132100 is a wasteful number, since it uses less digits than its factorization.

121313132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41079 (or 41069 counting only the distinct ones).

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

Adding to 121313132100 its reverse (1231313121), we get a palindrome (122544445221).

The spelling of 121313132100 in words is "one hundred twenty-one billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred".