10003133113319 has 8 divisors (see below), whose sum is σ = 10069088400000. Its totient is φ = 9937390930272.

The previous prime is 10003133113241. The next prime is 10003133113331. The reversal of 10003133113319 is 91331133130001.

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 10003133113319 - 2¹² = 10003133109223 is a prime.

It is a super-2 number, since 2×10003133113319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003133113291 and 10003133113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003132113319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53181719 + ... + 53369480.

It is an arithmetic number, because the mean of its divisors is an integer number (1258636050000).

Almost surely, 2^{10003133113319} is an apocalyptic number.

10003133113319 is a deficient number, since it is larger than the sum of its proper divisors (65955286681).

10003133113319 is a wasteful number, since it uses less digits than its factorization.

10003133113319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106551817.

The product of its (nonzero) digits is 2187, while the sum is 29.

The spelling of 10003133113319 in words is "ten trillion, three billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred nineteen".