10133131103303 has 32 divisors (see below), whose sum is σ = 11300279155200. Its totient is φ = 9022021747200.

The previous prime is 10133131103273. The next prime is 10133131103357. The reversal of 10133131103303 is 30330113133101.

10133131103303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10133131103303 - 2²⁴ = 10133114326087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133131103383) 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, 2990004533 + ... + 2990007921.

It is an arithmetic number, because the mean of its divisors is an integer number (353133723600).

Almost surely, 2^{10133131103303} is an apocalyptic number.

10133131103303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133131103303 is a deficient number, since it is larger than the sum of its proper divisors (1167148051897).

10133131103303 is a wasteful number, since it uses less digits than its factorization.

10133131103303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 10133131103303 its reverse (30330113133101), we get a palindrome (40463244236404).

The spelling of 10133131103303 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred three thousand, three hundred three".