1001005056103 has 128 divisors (see below), whose sum is σ = 1283898470400. Its totient is φ = 769256497152.

The previous prime is 1001005056101. The next prime is 1001005056119. The reversal of 1001005056103 is 3016505001001.

It is not a de Polignac number, because 1001005056103 - 2¹ = 1001005056101 is a prime.

It is a super-2 number, since 2×1001005056103² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001005056101) 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, 1376897926 + ... + 1376898652.

It is an arithmetic number, because the mean of its divisors is an integer number (10030456800).

Almost surely, 2^{1001005056103} is an apocalyptic number.

1001005056103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001005056103 is a deficient number, since it is larger than the sum of its proper divisors (282893414297).

1001005056103 is a wasteful number, since it uses less digits than its factorization.

1001005056103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 1001005056103 in words is "one trillion, one billion, five million, fifty-six thousand, one hundred three".