220113313151340 has 288 divisors, whose sum is σ = 725535623554560. Its totient is φ = 49710654249984.

The previous prime is 220113313151293. The next prime is 220113313151393. The reversal of 220113313151340 is 43151313311022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220113313151298 and 220113313151307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133328856 + ... + 134969664.

It is an arithmetic number, because the mean of its divisors is an integer number (2519220915120).

Almost surely, 2^{220113313151340} is an apocalyptic number.

220113313151340 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 220113313151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362767811777280).

220113313151340 is an abundant number, since it is smaller than the sum of its proper divisors (505422310403220).

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

220113313151340 is a wasteful number, since it uses less digits than its factorization.

220113313151340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641381 (or 1641372 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 220113313151340 its reverse (43151313311022), we get a palindrome (263264626462362).

The spelling of 220113313151340 in words is "two hundred twenty trillion, one hundred thirteen billion, three hundred thirteen million, one hundred fifty-one thousand, three hundred forty".