213104401312 has 48 divisors (see below), whose sum is σ = 458310031200. Its totient is φ = 96734442240.

The previous prime is 213104401303. The next prime is 213104401313.

213104401312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (213104401313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149487 + ... + 669742.

It is an arithmetic number, because the mean of its divisors is an integer number (9548125650).

Almost surely, 2^213104401312 is an apocalyptic number.

213104401312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213104401312 is an abundant number, since it is smaller than the sum of its proper divisors (245205629888).

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

213104401312 is a wasteful number, since it uses less digits than its factorization.

213104401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819989 (or 819981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 213104 and 401312, that added together give a palindrome (614416).

The spelling of 213104401312 in words is "two hundred thirteen billion, one hundred four million, four hundred one thousand, three hundred twelve".