213001313000 has 128 divisors (see below), whose sum is σ = 603134138880. Its totient is φ = 68733158400.

The previous prime is 213001312939. The next prime is 213001313101. The reversal of 213001313000 is 313100312.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775964 + ... + 1013963.

It is an arithmetic number, because the mean of its divisors is an integer number (4711985460).

Almost surely, 2^213001313000 is an apocalyptic number.

213001313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001313000 is an abundant number, since it is smaller than the sum of its proper divisors (390132825880).

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

213001313000 is a wasteful number, since it uses less digits than its factorization.

213001313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789972 (or 1789958 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 213001313000 its reverse (313100312), we get a palindrome (213314413312).

The spelling of 213001313000 in words is "two hundred thirteen billion, one million, three hundred thirteen thousand".