213114000411312 has 240 divisors, whose sum is σ = 744792562725120. Its totient is φ = 51096263708160.

The previous prime is 213114000411287. The next prime is 213114000411349.

213114000411312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213114000411312² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201082362 + ... + 202139417.

It is an arithmetic number, because the mean of its divisors is an integer number (3103302344688).

Almost surely, 2^{213114000411312} is an apocalyptic number.

213114000411312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213114000411312 is an abundant number, since it is smaller than the sum of its proper divisors (531678562313808).

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

213114000411312 is a wasteful number, since it uses less digits than its factorization.

213114000411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403221832 (or 403221815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 213114000 and 411312, that added together give a palindrome (213525312).

The spelling of 213114000411312 in words is "two hundred thirteen trillion, one hundred fourteen billion, four hundred eleven thousand, three hundred twelve".