213204402312 has 32 divisors (see below), whose sum is σ = 581466552480. Its totient is φ = 64607394560.

The previous prime is 213204402287. The next prime is 213204402317.

It is a happy number.

213204402312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213204402312² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (213204402317) 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, 403795953 + ... + 403796480.

It is an arithmetic number, because the mean of its divisors is an integer number (18170829765).

Almost surely, 2^213204402312 is an apocalyptic number.

213204402312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213204402312 is an abundant number, since it is smaller than the sum of its proper divisors (368262150168).

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

213204402312 is a wasteful number, since it uses less digits than its factorization.

213204402312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807592453 (or 807592449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 213204 and 402312, that added together give a palindrome (615516).

The spelling of 213204402312 in words is "two hundred thirteen billion, two hundred four million, four hundred two thousand, three hundred twelve".