213303122132100 has 432 divisors, whose sum is σ = 834907938555264. Its totient is φ = 40913285529600.

The previous prime is 213303122132077. The next prime is 213303122132183. The reversal of 213303122132100 is 1231221303312.

213303122132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213303122132100² (a number of 29 digits) contains 22 as substring.

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, 28983069 + ... + 35589668.

Almost surely, 2^{213303122132100} is an apocalyptic number.

213303122132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213303122132100 is an abundant number, since it is smaller than the sum of its proper divisors (621604816423164).

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

213303122132100 is a wasteful number, since it uses less digits than its factorization.

213303122132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64572796 (or 64572778 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213303122132100 its reverse (1231221303312), we get a palindrome (214534343435412).

The spelling of 213303122132100 in words is "two hundred thirteen trillion, three hundred three billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred".