213003313301100 has 432 divisors, whose sum is σ = 728762752344480. Its totient is φ = 47881638604800.

The previous prime is 213003313301071. The next prime is 213003313301111. The reversal of 213003313301100 is 1103313300312.

213003313301100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213003313301100² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9351672912 + ... + 9351695688.

Almost surely, 2^{213003313301100} is an apocalyptic number.

213003313301100 is a gapful number since it is divisible by the number (20) 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 213003313301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364381376172240).

213003313301100 is an abundant number, since it is smaller than the sum of its proper divisors (515759439043380).

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

213003313301100 is a wasteful number, since it uses less digits than its factorization.

213003313301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33298 (or 33284 counting only the distinct ones).

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

Adding to 213003313301100 its reverse (1103313300312), we get a palindrome (214106626601412).

The spelling of 213003313301100 in words is "two hundred thirteen trillion, three billion, three hundred thirteen million, three hundred one thousand, one hundred".