213011145000 has 240 divisors, whose sum is σ = 725761822500. Its totient is φ = 56419968000.

The previous prime is 213011144989. The next prime is 213011145031. The reversal of 213011145000 is 541110312.

213011145000 is a `hidden beast` number, since 21 + 30 + 1 + 114 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 73019929284 + 139991215716 = 270222^2 + 374154^2 .

It is a super-2 number, since 2×213011145000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6689116 + ... + 6720884.

Almost surely, 2^213011145000 is an apocalyptic number.

213011145000 is a gapful number since it is divisible by the number (20) 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 213011145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880911250).

213011145000 is an abundant number, since it is smaller than the sum of its proper divisors (512750677500).

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

213011145000 is a wasteful number, since it uses less digits than its factorization.

213011145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31950 (or 31928 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 213011145000 its reverse (541110312), we get a palindrome (213552255312).

The spelling of 213011145000 in words is "two hundred thirteen billion, eleven million, one hundred forty-five thousand".