10011001320103 has 64 divisors (see below), whose sum is σ = 12192369868800. Its totient is φ = 8035105478400.

The previous prime is 10011001320101. The next prime is 10011001320191. The reversal of 10011001320103 is 30102310011001.

It is not a de Polignac number, because 10011001320103 - 2¹ = 10011001320101 is a prime.

It is a super-4 number, since 4×10011001320103⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001320101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185150426 + ... + 1185158872.

It is an arithmetic number, because the mean of its divisors is an integer number (190505779200).

Almost surely, 2^{10011001320103} is an apocalyptic number.

10011001320103 is a deficient number, since it is larger than the sum of its proper divisors (2181368548697).

10011001320103 is a wasteful number, since it uses less digits than its factorization.

10011001320103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10011001320103 its reverse (30102310011001), we get a palindrome (40113311331104).

The spelling of 10011001320103 in words is "ten trillion, eleven billion, one million, three hundred twenty thousand, one hundred three".