121313313000 has 384 divisors, whose sum is σ = 448269120000. Its totient is φ = 29346624000.

The previous prime is 121313312983. The next prime is 121313313007. The reversal of 121313313000 is 313313121.

It is a happy number.

121313313000 is a `hidden beast` number, since 1 + 2 + 1 + 31 + 331 + 300 + 0 = 666.

It is a super-2 number, since 2×121313313000² (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 not an unprimeable number, because it can be changed into a prime (121313313007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60686001 + ... + 60687999.

It is an arithmetic number, because the mean of its divisors is an integer number (1167367500).

Almost surely, 2^121313313000 is an apocalyptic number.

121313313000 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 121313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224134560000).

121313313000 is an abundant number, since it is smaller than the sum of its proper divisors (326955807000).

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

121313313000 is a wasteful number, since it uses less digits than its factorization.

121313313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 121313313000 its reverse (313313121), we get a palindrome (121626626121).

The spelling of 121313313000 in words is "one hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand".