213234001040 has 160 divisors (see below), whose sum is σ = 526316313600. Its totient is φ = 80117544960.

The previous prime is 213234001031. The next prime is 213234001069. The reversal of 213234001040 is 40100432312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121223681 + ... + 121225439.

It is an arithmetic number, because the mean of its divisors is an integer number (3289476960).

Almost surely, 2^213234001040 is an apocalyptic number.

213234001040 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 213234001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263158156800).

213234001040 is an abundant number, since it is smaller than the sum of its proper divisors (313082312560).

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

213234001040 is a wasteful number, since it uses less digits than its factorization.

213234001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213234001040 its reverse (40100432312), we get a palindrome (253334433352).

The spelling of 213234001040 in words is "two hundred thirteen billion, two hundred thirty-four million, one thousand, forty".