1003130100133 has 48 divisors (see below), whose sum is σ = 1252251135360. Its totient is φ = 784073198592.

The previous prime is 1003130100101. The next prime is 1003130100191. The reversal of 1003130100133 is 3310010313001.

It is not a de Polignac number, because 1003130100133 - 2⁵ = 1003130100101 is a prime.

It is a super-3 number, since 3×1003130100133³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003130100233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717032968 + ... + 717034366.

It is an arithmetic number, because the mean of its divisors is an integer number (26088565320).

Almost surely, 2^{1003130100133} is an apocalyptic number.

It is an amenable number.

1003130100133 is a deficient number, since it is larger than the sum of its proper divisors (249121035227).

1003130100133 is an frugal number, since it uses more digits than its factorization.

1003130100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1003130100133 its reverse (3310010313001), we get a palindrome (4313140413134).

The spelling of 1003130100133 in words is "one trillion, three billion, one hundred thirty million, one hundred thousand, one hundred thirty-three".