213565121565312 has 1536 divisors, whose sum is σ = 670481252179200. Its totient is φ = 60095692800000.

The previous prime is 213565121565293. The next prime is 213565121565361.

213565121565312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213565121565312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 932598784014 + ... + 932598784242.

Almost surely, 2^{213565121565312} is an apocalyptic number.

213565121565312 is a gapful number since it is divisible by the number (22) 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 213565121565312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335240626089600).

213565121565312 is an abundant number, since it is smaller than the sum of its proper divisors (456916130613888).

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

213565121565312 is a wasteful number, since it uses less digits than its factorization.

213565121565312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 48.

The spelling of 213565121565312 in words is "two hundred thirteen trillion, five hundred sixty-five billion, one hundred twenty-one million, five hundred sixty-five thousand, three hundred twelve".