1001101603013 has 8 divisors (see below), whose sum is σ = 1060012523160. Its totient is φ = 942193192960.

The previous prime is 1001101603001. The next prime is 1001101603127. The reversal of 1001101603013 is 3103061011001.

It can be written as a sum of positive squares in 4 ways, for example, as 462179706244 + 538921896769 = 679838^2 + 734113^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001101603013 - 2¹⁰ = 1001101601989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001101602982 and 1001101603000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101603213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226853 + ... + 1433061.

It is an arithmetic number, because the mean of its divisors is an integer number (132501565395).

Almost surely, 2^{1001101603013} is an apocalyptic number.

It is an amenable number.

1001101603013 is a deficient number, since it is larger than the sum of its proper divisors (58910920147).

1001101603013 is a wasteful number, since it uses less digits than its factorization.

1001101603013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255047.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1001101603013 its reverse (3103061011001), we get a palindrome (4104162614014).

The spelling of 1001101603013 in words is "one trillion, one billion, one hundred one million, six hundred three thousand, thirteen".