10303224313311 has 32 divisors (see below), whose sum is σ = 15317042826240. Its totient is φ = 6844987987200.

The previous prime is 10303224313309. The next prime is 10303224313357. The reversal of 10303224313311 is 11331342230301.

10303224313311 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 32 + 2 + 4 + 313 + 311 = 666.

It is not a de Polignac number, because 10303224313311 - 2¹ = 10303224313309 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 (10303224314311) 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, 14629146 + ... + 15317256.

It is an arithmetic number, because the mean of its divisors is an integer number (478657588320).

Almost surely, 2^{10303224313311} is an apocalyptic number.

10303224313311 is a deficient number, since it is larger than the sum of its proper divisors (5013818512929).

10303224313311 is a wasteful number, since it uses less digits than its factorization.

10303224313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690044 (or 690038 counting only the distinct ones).

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

Adding to 10303224313311 its reverse (11331342230301), we get a palindrome (21634566543612).

The spelling of 10303224313311 in words is "ten trillion, three hundred three billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred eleven".