213401104312 has 64 divisors (see below), whose sum is σ = 465818480640. Its totient is φ = 90575654400.

The previous prime is 213401104229. The next prime is 213401104331.

213401104312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213401104312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371614 + ... + 751597.

It is an arithmetic number, because the mean of its divisors is an integer number (7278413760).

Almost surely, 2^213401104312 is an apocalyptic number.

213401104312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213401104312 is an abundant number, since it is smaller than the sum of its proper divisors (252417376328).

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

213401104312 is a wasteful number, since it uses less digits than its factorization.

213401104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123372 (or 1123368 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, 213401 and 104312, that added together give a palindrome (317713).

The spelling of 213401104312 in words is "two hundred thirteen billion, four hundred one million, one hundred four thousand, three hundred twelve".