13031233203313 has 12 divisors (see below), whose sum is σ = 14304041517900. Its totient is φ = 11864052135936.

The previous prime is 13031233203301. The next prime is 13031233203347. The reversal of 13031233203313 is 31330233213031.

It can be written as a sum of positive squares in 6 ways, for example, as 4850534926449 + 8180698276864 = 2202393^2 + 2860192^2 .

It is not a de Polignac number, because 13031233203313 - 2⁵ = 13031233203281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031233203383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528123888 + ... + 528148561.

It is an arithmetic number, because the mean of its divisors is an integer number (1192003459825).

Almost surely, 2^{13031233203313} is an apocalyptic number.

13031233203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13031233203313 is a deficient number, since it is larger than the sum of its proper divisors (1272808314587).

13031233203313 is a wasteful number, since it uses less digits than its factorization.

13031233203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056272548 (or 1056272535 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13031233203313 its reverse (31330233213031), we get a palindrome (44361466416344).

The spelling of 13031233203313 in words is "thirteen trillion, thirty-one billion, two hundred thirty-three million, two hundred three thousand, three hundred thirteen".