213113002013120 has 448 divisors, whose sum is σ = 560148463566720. Its totient is φ = 76586287104000.

The previous prime is 213113002013111. The next prime is 213113002013161. The reversal of 213113002013120 is 21310200311312.

It is a happy number.

It is a super-3 number, since 3×213113002013120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213113002013092 and 213113002013101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132450590876 + ... + 132450592484.

It is an arithmetic number, because the mean of its divisors is an integer number (1250331391890).

Almost surely, 2^{213113002013120} is an apocalyptic number.

213113002013120 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 213113002013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280074231783360).

213113002013120 is an abundant number, since it is smaller than the sum of its proper divisors (347035461553600).

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

213113002013120 is a wasteful number, since it uses less digits than its factorization.

213113002013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213113002013120 its reverse (21310200311312), we get a palindrome (234423202324432).

The spelling of 213113002013120 in words is "two hundred thirteen trillion, one hundred thirteen billion, two million, thirteen thousand, one hundred twenty".