1013211220 has 144 divisors (see below), whose sum is σ = 2666360592. Its totient is φ = 321269760.

The previous prime is 1013211209. The next prime is 1013211253. The reversal of 1013211220 is 221123101.

It can be written as a sum of positive squares in 8 ways, for example, as 571536 + 1012639684 = 756^2 + 31822^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1013211220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015762 + ... + 1016758.

It is an arithmetic number, because the mean of its divisors is an integer number (18516393).

Almost surely, 2^1013211220 is an apocalyptic number.

1013211220 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 1013211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333180296).

1013211220 is an abundant number, since it is smaller than the sum of its proper divisors (1653149372).

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

1013211220 is a wasteful number, since it uses less digits than its factorization.

1013211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1013211220 is about 31830.9789356218. The cubic root of 1013211220 is about 1004.3844881681.

Adding to 1013211220 its reverse (221123101), we get a palindrome (1234334321).

The spelling of 1013211220 in words is "one billion, thirteen million, two hundred eleven thousand, two hundred twenty".