1013213310 has 128 divisors (see below), whose sum is σ = 2612736000. Its totient is φ = 251005440.

The previous prime is 1013213303. The next prime is 1013213321. The reversal of 1013213310 is 133123101.

It is a super-2 number, since 2×1013213310² = 2053202423122312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013213310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2903016 + ... + 2903364.

It is an arithmetic number, because the mean of its divisors is an integer number (20412000).

Almost surely, 2^1013213310 is an apocalyptic number.

1013213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

1013213310 is an abundant number, since it is smaller than the sum of its proper divisors (1599522690).

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

1013213310 is a wasteful number, since it uses less digits than its factorization.

1013213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1013213310 is about 31831.0117652581. The cubic root of 1013213310 is about 1004.3851787652.

Adding to 1013213310 its reverse (133123101), we get a palindrome (1146336411).

The spelling of 1013213310 in words is "one billion, thirteen million, two hundred thirteen thousand, three hundred ten".