213101300111240 has 128 divisors (see below), whose sum is σ = 512552143595520. Its totient is φ = 79541993625600.

The previous prime is 213101300111179. The next prime is 213101300111303. The reversal of 213101300111240 is 42111003101312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870115682 + ... + 870360558.

It is an arithmetic number, because the mean of its divisors is an integer number (4004313621840).

Almost surely, 2^{213101300111240} is an apocalyptic number.

213101300111240 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 213101300111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256276071797760).

213101300111240 is an abundant number, since it is smaller than the sum of its proper divisors (299450843484280).

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

213101300111240 is a wasteful number, since it uses less digits than its factorization.

213101300111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268023 (or 268019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 213101300111240 its reverse (42111003101312), we get a palindrome (255212303212552).

The spelling of 213101300111240 in words is "two hundred thirteen trillion, one hundred one billion, three hundred million, one hundred eleven thousand, two hundred forty".