30413311331403 has 32 divisors (see below), whose sum is σ = 54446207703552. Its totient is φ = 14583805632000.

The previous prime is 30413311331363. The next prime is 30413311331423.

30413311331403 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-30413311331403 is a prime.

It is a super-2 number, since 2×30413311331403² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30413311331423) 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 31 ways as a sum of consecutive naturals, for example, 5063818398 + ... + 5063824403.

It is an arithmetic number, because the mean of its divisors is an integer number (1701443990736).

Almost surely, 2^{30413311331403} is an apocalyptic number.

30413311331403 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30413311331403 is a deficient number, since it is larger than the sum of its proper divisors (24032896372149).

30413311331403 is a wasteful number, since it uses less digits than its factorization.

30413311331403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127642835.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3041331 and 1331403, that added together give a palindrome (4372734).

The spelling of 30413311331403 in words is "thirty trillion, four hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, four hundred three".