1013313213220 has 576 divisors, whose sum is σ = 2921265285120. Its totient is φ = 285866496000.

The previous prime is 1013313213197. The next prime is 1013313213223. The reversal of 1013313213220 is 223123133101.

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 = 1013313213191 and 1013313213200.

It is not an unprimeable number, because it can be changed into a prime (1013313213223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4463934747 + ... + 4463934973.

It is an arithmetic number, because the mean of its divisors is an integer number (5071641120).

Almost surely, 2^{1013313213220} is an apocalyptic number.

1013313213220 is a gapful number since it is divisible by the number (10) 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 1013313213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460632642560).

1013313213220 is an abundant number, since it is smaller than the sum of its proper divisors (1907952071900).

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

1013313213220 is a wasteful number, since it uses less digits than its factorization.

1013313213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1013313213220 its reverse (223123133101), we get a palindrome (1236436346321).

The spelling of 1013313213220 in words is "one trillion, thirteen billion, three hundred thirteen million, two hundred thirteen thousand, two hundred twenty".