10003313032133 has 16 divisors (see below), whose sum is σ = 10489963954176. Its totient is φ = 9520991966640.

The previous prime is 10003313032129. The next prime is 10003313032147. The reversal of 10003313032133 is 33123031330001.

It is a cyclic number.

It is not a de Polignac number, because 10003313032133 - 2² = 10003313032129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 10003313032099 and 10003313032108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003313032333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22604516 + ... + 23042802.

It is an arithmetic number, because the mean of its divisors is an integer number (655622747136).

Almost surely, 2^{10003313032133} is an apocalyptic number.

It is an amenable number.

10003313032133 is a deficient number, since it is larger than the sum of its proper divisors (486650922043).

10003313032133 is a wasteful number, since it uses less digits than its factorization.

10003313032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443224.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10003313032133 its reverse (33123031330001), we get a palindrome (43126344362134).

The spelling of 10003313032133 in words is "ten trillion, three billion, three hundred thirteen million, thirty-two thousand, one hundred thirty-three".