213013113133200 has 120 divisors (see below), whose sum is σ = 689386562873568. Its totient is φ = 56217893744640.

The previous prime is 213013113133199. The next prime is 213013113133229. The reversal of 213013113133200 is 2331311310312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914888382 + ... + 915121181.

Almost surely, 2^{213013113133200} is an apocalyptic number.

213013113133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213013113133200 is an abundant number, since it is smaller than the sum of its proper divisors (476373449740368).

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

213013113133200 is a wasteful number, since it uses less digits than its factorization.

213013113133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830009681 (or 1830009670 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 213013113133200 its reverse (2331311310312), we get a palindrome (215344424443512).

The spelling of 213013113133200 in words is "two hundred thirteen trillion, thirteen billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred".