1013220513 has 12 divisors (see below), whose sum is σ = 1465473828. Its totient is φ = 674588160.

The previous prime is 1013220503. The next prime is 1013220517. The reversal of 1013220513 is 3150223101.

1013220513 is a `hidden beast` number, since 1 + 0 + 132 + 20 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 321951249 + 691269264 = 17943^2 + 26292^2 .

It is not a de Polignac number, because 1013220513 - 2⁴ = 1013220497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013220517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67120 + ... + 80817.

It is an arithmetic number, because the mean of its divisors is an integer number (122122819).

Almost surely, 2^1013220513 is an apocalyptic number.

It is an amenable number.

1013220513 is a deficient number, since it is larger than the sum of its proper divisors (452253315).

1013220513 is a wasteful number, since it uses less digits than its factorization.

1013220513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148704 (or 148701 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1013220513 is about 31831.1249094342. The cubic root of 1013220513 is about 1004.3875588396.

Adding to 1013220513 its reverse (3150223101), we get a palindrome (4163443614).

The spelling of 1013220513 in words is "one billion, thirteen million, two hundred twenty thousand, five hundred thirteen".