13122740657 has 24 divisors (see below), whose sum is σ = 15094807704. Its totient is φ = 11363549184.

The previous prime is 13122740611. The next prime is 13122740663. The reversal of 13122740657 is 75604722131.

It can be written as a sum of positive squares in 12 ways, for example, as 11690799376 + 1431941281 = 108124^2 + 37841^2 .

It is not a de Polignac number, because 13122740657 - 2¹⁶ = 13122675121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13122740657.

It is not an unprimeable number, because it can be changed into a prime (13122740677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891953 + ... + 906545.

It is an arithmetic number, because the mean of its divisors is an integer number (628950321).

Almost surely, 2^13122740657 is an apocalyptic number.

13122740657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13122740657 is a deficient number, since it is larger than the sum of its proper divisors (1972067047).

13122740657 is a wasteful number, since it uses less digits than its factorization.

13122740657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14949 (or 14936 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 13122740657 in words is "thirteen billion, one hundred twenty-two million, seven hundred forty thousand, six hundred fifty-seven".