1065612101013 has 24 divisors (see below), whose sum is σ = 1541462337792. Its totient is φ = 709372290528.

The previous prime is 1065612101003. The next prime is 1065612101033. The reversal of 1065612101013 is 3101012165601.

1065612101013 is a `hidden beast` number, since 1 + 0 + 656 + 1 + 2 + 1 + 0 + 1 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 1065612101013 - 2¹² = 1065612096917 is a prime.

It is a super-2 number, since 2×1065612101013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065612101003) 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, 71113920 + ... + 71128902.

It is an arithmetic number, because the mean of its divisors is an integer number (64227597408).

Almost surely, 2^{1065612101013} is an apocalyptic number.

It is an amenable number.

1065612101013 is a deficient number, since it is larger than the sum of its proper divisors (475850236779).

1065612101013 is a wasteful number, since it uses less digits than its factorization.

1065612101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25985 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1065612101013 its reverse (3101012165601), we get a palindrome (4166624266614).

The spelling of 1065612101013 in words is "one trillion, sixty-five billion, six hundred twelve million, one hundred one thousand, thirteen".