213003323133100 has 36 divisors (see below), whose sum is σ = 462223339250400. Its totient is φ = 85200199658560.

The previous prime is 213003323133079. The next prime is 213003323133113. The reversal of 213003323133100 is 1331323300312.

213003323133100 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 2×213003323133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6519220 + ... + 21645019.

It is an arithmetic number, because the mean of its divisors is an integer number (12839537201400).

Almost surely, 2^{213003323133100} is an apocalyptic number.

213003323133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213003323133100 is an abundant number, since it is smaller than the sum of its proper divisors (249220016117300).

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

213003323133100 is a wasteful number, since it uses less digits than its factorization.

213003323133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28239882 (or 28239875 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 213003323133100 its reverse (1331323300312), we get a palindrome (214334646433412).

The spelling of 213003323133100 in words is "two hundred thirteen trillion, three billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred".