13122288772131 has 16 divisors (see below), whose sum is σ = 21813674842368. Its totient is φ = 6816773388000.

The previous prime is 13122288772031. The next prime is 13122288772213. The reversal of 13122288772131 is 13127788222131.

It is not a de Polignac number, because 13122288772131 - 2⁷ = 13122288772003 is a prime.

It is a super-2 number, since 2×13122288772131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122288772031) 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 15 ways as a sum of consecutive naturals, for example, 28403222220 + ... + 28403222681.

It is an arithmetic number, because the mean of its divisors is an integer number (1363354677648).

Almost surely, 2^{13122288772131} is an apocalyptic number.

13122288772131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122288772131 is a deficient number, since it is larger than the sum of its proper divisors (8691386070237).

13122288772131 is a wasteful number, since it uses less digits than its factorization.

13122288772131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56806444922.

The product of its digits is 451584, while the sum is 48.

The spelling of 13122288772131 in words is "thirteen trillion, one hundred twenty-two billion, two hundred eighty-eight million, seven hundred seventy-two thousand, one hundred thirty-one".