213041141120 has 128 divisors (see below), whose sum is σ = 515313792000. Its totient is φ = 84216158208.

The previous prime is 213041141119. The next prime is 213041141177. The reversal of 213041141120 is 21141140312.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 213041141092 and 213041141101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19832711 + ... + 19843449.

It is an arithmetic number, because the mean of its divisors is an integer number (4025889000).

Almost surely, 2^213041141120 is an apocalyptic number.

213041141120 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 213041141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257656896000).

213041141120 is an abundant number, since it is smaller than the sum of its proper divisors (302272650880).

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

213041141120 is a wasteful number, since it uses less digits than its factorization.

213041141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11120 (or 11108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 213041141120 its reverse (21141140312), we get a palindrome (234182281432).

The spelling of 213041141120 in words is "two hundred thirteen billion, forty-one million, one hundred forty-one thousand, one hundred twenty".