1001016130401 has 12 divisors (see below), whose sum is σ = 1652471072512. Its totient is φ = 572009217336.

The previous prime is 1001016130397. The next prime is 1001016130423. The reversal of 1001016130401 is 1040316101001.

1001016130401 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 1 + 613 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 1001016130401 - 2² = 1001016130397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001016130441) 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, 7944572401 + ... + 7944572526.

Almost surely, 2^{1001016130401} is an apocalyptic number.

It is an amenable number.

1001016130401 is a deficient number, since it is larger than the sum of its proper divisors (651454942111).

1001016130401 is a wasteful number, since it uses less digits than its factorization.

1001016130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15889144940 (or 15889144937 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1001016130401 in words is "one trillion, one billion, sixteen million, one hundred thirty thousand, four hundred one".