313040133113103 has 32 divisors (see below), whose sum is σ = 532550997331200. Its totient is φ = 179735961592800.

The previous prime is 313040133113053. The next prime is 313040133113143. The reversal of 313040133113103 is 301311331040313.

313040133113103 is a `hidden beast` number, since 3 + 1 + 30 + 4 + 0 + 1 + 3 + 311 + 310 + 3 = 666.

It is not a de Polignac number, because 313040133113103 - 2¹⁰ = 313040133112079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313040133113143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27737025468 + ... + 27737036753.

It is an arithmetic number, because the mean of its divisors is an integer number (16642218666600).

Almost surely, 2^{313040133113103} is an apocalyptic number.

313040133113103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

313040133113103 is a deficient number, since it is larger than the sum of its proper divisors (219510864218097).

313040133113103 is a wasteful number, since it uses less digits than its factorization.

313040133113103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55474062260 (or 55474062254 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313040133113103 its reverse (301311331040313), we get a palindrome (614351464153416).

The spelling of 313040133113103 in words is "three hundred thirteen trillion, forty billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred three".