13312511521331 has 8 divisors (see below), whose sum is σ = 14523773142384. Its totient is φ = 12101422117120.

The previous prime is 13312511521303. The next prime is 13312511521343.

It is a happy number.

13312511521331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13312511521331 - 2¹⁴ = 13312511504947 is a prime.

It is a super-2 number, since 2×13312511521331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13312511521301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42892550 + ... + 43201803.

It is an arithmetic number, because the mean of its divisors is an integer number (1815471642798).

Almost surely, 2^{13312511521331} is an apocalyptic number.

13312511521331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312511521331 is a deficient number, since it is larger than the sum of its proper divisors (1211261621053).

13312511521331 is a wasteful number, since it uses less digits than its factorization.

13312511521331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86108421.

The product of its digits is 8100, while the sum is 32.

It can be divided in two parts, 1331251 and 1521331, that added together give a palindrome (2852582).

The spelling of 13312511521331 in words is "thirteen trillion, three hundred twelve billion, five hundred eleven million, five hundred twenty-one thousand, three hundred thirty-one".