213402000141220 has 192 divisors, whose sum is σ = 496822912008192. Its totient is φ = 76345468416000.

The previous prime is 213402000141203. The next prime is 213402000141227. The reversal of 213402000141220 is 22141000204312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213402000141191 and 213402000141200.

It is not an unprimeable number, because it can be changed into a prime (213402000141227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19247942517 + ... + 19247953603.

It is an arithmetic number, because the mean of its divisors is an integer number (2587619333376).

Almost surely, 2^{213402000141220} is an apocalyptic number.

213402000141220 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 213402000141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248411456004096).

213402000141220 is an abundant number, since it is smaller than the sum of its proper divisors (283420911866972).

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

213402000141220 is a wasteful number, since it uses less digits than its factorization.

213402000141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 13680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213402000141220 its reverse (22141000204312), we get a palindrome (235543000345532).

The spelling of 213402000141220 in words is "two hundred thirteen trillion, four hundred two billion, one hundred forty-one thousand, two hundred twenty".