10121313033300 has 576 divisors, whose sum is σ = 36440788640256. Its totient is φ = 2115801907200.

The previous prime is 10121313033253. The next prime is 10121313033319. The reversal of 10121313033300 is 333031312101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1132006830 + ... + 1132015770.

It is an arithmetic number, because the mean of its divisors is an integer number (63265258056).

Almost surely, 2^{10121313033300} is an apocalyptic number.

10121313033300 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 10121313033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220394320128).

10121313033300 is an abundant number, since it is smaller than the sum of its proper divisors (26319475606956).

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

10121313033300 is a wasteful number, since it uses less digits than its factorization.

10121313033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9876 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10121313033300 its reverse (333031312101), we get a palindrome (10454344345401).

The spelling of 10121313033300 in words is "ten trillion, one hundred twenty-one billion, three hundred thirteen million, thirty-three thousand, three hundred".