10304133140301 has 192 divisors, whose sum is σ = 19136653068288. Its totient is φ = 4759378560000.

The previous prime is 10304133140269. The next prime is 10304133140339.

10304133140301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10304133140301 - 2⁵ = 10304133140269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304133140341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1133438766 + ... + 1133447856.

It is an arithmetic number, because the mean of its divisors is an integer number (99670068064).

Almost surely, 2^{10304133140301} is an apocalyptic number.

10304133140301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10304133140301 is a deficient number, since it is larger than the sum of its proper divisors (8832519927987).

10304133140301 is a wasteful number, since it uses less digits than its factorization.

10304133140301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1030413 and 3140301, that added together give a palindrome (4170714).

The spelling of 10304133140301 in words is "ten trillion, three hundred four billion, one hundred thirty-three million, one hundred forty thousand, three hundred one".