121313301021000 has 1024 divisors, whose sum is σ = 474396549120000. Its totient is φ = 28411793280000.

The previous prime is 121313301020993. The next prime is 121313301021013. The reversal of 121313301021000 is 120103313121.

121313301021000 is a `hidden beast` number, since 1 + 2 + 131 + 330 + 102 + 100 + 0 = 666.

It is a super-2 number, since 2×121313301021000² (a number of 29 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 255 ways as a sum of consecutive naturals, for example, 5514982002 + ... + 5515003998.

It is an arithmetic number, because the mean of its divisors is an integer number (463277880000).

Almost surely, 2^{121313301021000} is an apocalyptic number.

121313301021000 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 121313301021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237198274560000).

121313301021000 is an abundant number, since it is smaller than the sum of its proper divisors (353083248099000).

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

121313301021000 is a wasteful number, since it uses less digits than its factorization.

121313301021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22668 (or 22648 counting only the distinct ones).

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

Adding to 121313301021000 its reverse (120103313121), we get a palindrome (121433404334121).

The spelling of 121313301021000 in words is "one hundred twenty-one trillion, three hundred thirteen billion, three hundred one million, twenty-one thousand".