1013301122013 has 24 divisors (see below), whose sum is σ = 1483755698880. Its totient is φ = 666310104000.

The previous prime is 1013301121993. The next prime is 1013301122047. The reversal of 1013301122013 is 3102211033101.

1013301122013 is a `hidden beast` number, since 101 + 330 + 1 + 1 + 220 + 13 = 666.

It is not a de Polignac number, because 1013301122013 - 2¹⁶ = 1013301056477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013301122083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944808 + ... + 2410161.

It is an arithmetic number, because the mean of its divisors is an integer number (61823154120).

Almost surely, 2^{1013301122013} is an apocalyptic number.

It is an amenable number.

1013301122013 is a deficient number, since it is larger than the sum of its proper divisors (470454576867).

1013301122013 is a wasteful number, since it uses less digits than its factorization.

1013301122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355329 (or 4355326 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013301122013 its reverse (3102211033101), we get a palindrome (4115512155114).

The spelling of 1013301122013 in words is "one trillion, thirteen billion, three hundred one million, one hundred twenty-two thousand, thirteen".