1011003113313 has 6 divisors (see below), whose sum is σ = 1460337830354. Its totient is φ = 674002075536.

The previous prime is 1011003113297. The next prime is 1011003113317. The reversal of 1011003113313 is 3133113001101.

1011003113313 is a `hidden beast` number, since 10 + 1 + 10 + 0 + 311 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 715619559249 + 295383554064 = 845943^2 + 543492^2 .

It is not a de Polignac number, because 1011003113313 - 2⁴ = 1011003113297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011003113317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56166839620 + ... + 56166839637.

Almost surely, 2^{1011003113313} is an apocalyptic number.

It is an amenable number.

1011003113313 is a deficient number, since it is larger than the sum of its proper divisors (449334717041).

1011003113313 is a wasteful number, since it uses less digits than its factorization.

1011003113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112333679263 (or 112333679260 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1011003113313 its reverse (3133113001101), we get a palindrome (4144116114414).

The spelling of 1011003113313 in words is "one trillion, eleven billion, three million, one hundred thirteen thousand, three hundred thirteen".