13033030003131 has 16 divisors (see below), whose sum is σ = 18388304432640. Its totient is φ = 8193862501440.

The previous prime is 13033030003093. The next prime is 13033030003139. The reversal of 13033030003131 is 13130003033031.

It is not a de Polignac number, because 13033030003131 - 2⁶ = 13033030003067 is a prime.

It is a super-2 number, since 2×13033030003131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13033030003098 and 13033030003107.

It is not an unprimeable number, because it can be changed into a prime (13033030003139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330167586 + ... + 1330177383.

It is an arithmetic number, because the mean of its divisors is an integer number (1149269027040).

Almost surely, 2^{13033030003131} is an apocalyptic number.

13033030003131 is a deficient number, since it is larger than the sum of its proper divisors (5355274429509).

13033030003131 is a wasteful number, since it uses less digits than its factorization.

13033030003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660345066.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13033030003131 its reverse (13130003033031), we get a palindrome (26163033036162).

The spelling of 13033030003131 in words is "thirteen trillion, thirty-three billion, thirty million, three thousand, one hundred thirty-one".