1001130314013 has 128 divisors (see below), whose sum is σ = 1563643699200. Its totient is φ = 632533708800.

The previous prime is 1001130314003. The next prime is 1001130314039. The reversal of 1001130314013 is 3104130311001.

1001130314013 is a `hidden beast` number, since 100 + 1 + 130 + 31 + 401 + 3 = 666.

It is not a de Polignac number, because 1001130314013 - 2¹⁰ = 1001130312989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001130314003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2038961698 + ... + 2038962188.

It is an arithmetic number, because the mean of its divisors is an integer number (12215966400).

Almost surely, 2^{1001130314013} is an apocalyptic number.

It is an amenable number.

1001130314013 is a deficient number, since it is larger than the sum of its proper divisors (562513385187).

1001130314013 is a wasteful number, since it uses less digits than its factorization.

1001130314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

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

Adding to 1001130314013 its reverse (3104130311001), we get a palindrome (4105260625014).

The spelling of 1001130314013 in words is "one trillion, one billion, one hundred thirty million, three hundred fourteen thousand, thirteen".