213302133140100 has 576 divisors, whose sum is σ = 682431457591296. Its totient is φ = 51276297093120.

The previous prime is 213302133140059. The next prime is 213302133140101. The reversal of 213302133140100 is 1041331203312.

It is a super-3 number, since 3×213302133140100³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213302133140101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1163821069 + ... + 1164004331.

It is an arithmetic number, because the mean of its divisors is an integer number (1184776836096).

Almost surely, 2^{213302133140100} is an apocalyptic number.

213302133140100 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 213302133140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341215728795648).

213302133140100 is an abundant number, since it is smaller than the sum of its proper divisors (469129324451196).

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

213302133140100 is a wasteful number, since it uses less digits than its factorization.

213302133140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183484 (or 183477 counting only the distinct ones).

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

Adding to 213302133140100 its reverse (1041331203312), we get a palindrome (214343464343412).

The spelling of 213302133140100 in words is "two hundred thirteen trillion, three hundred two billion, one hundred thirty-three million, one hundred forty thousand, one hundred".