10304133403311 has 16 divisors (see below), whose sum is σ = 16653144894720. Its totient is φ = 6244929335160.

The previous prime is 10304133403237. The next prime is 10304133403313. The reversal of 10304133403311 is 11330433140301.

10304133403311 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 1 + 3 + 340 + 3 + 311 = 666.

It is not a de Polignac number, because 10304133403311 - 2¹⁰ = 10304133402287 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 (10304133403313) 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, 17347025635 + ... + 17347026228.

It is an arithmetic number, because the mean of its divisors is an integer number (1040821555920).

Almost surely, 2^{10304133403311} is an apocalyptic number.

10304133403311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10304133403311 is a deficient number, since it is larger than the sum of its proper divisors (6349011491409).

10304133403311 is a wasteful number, since it uses less digits than its factorization.

10304133403311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34694051883 (or 34694051877 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10304133403311 its reverse (11330433140301), we get a palindrome (21634566543612).

The spelling of 10304133403311 in words is "ten trillion, three hundred four billion, one hundred thirty-three million, four hundred three thousand, three hundred eleven".