13121132302311 has 32 divisors (see below), whose sum is σ = 19120607041536. Its totient is φ = 7937485980000.

The previous prime is 13121132302301. The next prime is 13121132302349. The reversal of 13121132302311 is 11320323112131.

It is not a de Polignac number, because 13121132302311 - 2¹³ = 13121132294119 is a prime.

It is a super-3 number, since 3×13121132302311³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121132302301) 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, 230364886 + ... + 230421836.

It is an arithmetic number, because the mean of its divisors is an integer number (597518970048).

Almost surely, 2^{13121132302311} is an apocalyptic number.

13121132302311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13121132302311 is a deficient number, since it is larger than the sum of its proper divisors (5999474739225).

13121132302311 is a wasteful number, since it uses less digits than its factorization.

13121132302311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69763.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13121132302311 its reverse (11320323112131), we get a palindrome (24441455414442).

The spelling of 13121132302311 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-two million, three hundred two thousand, three hundred eleven".