13723977932731 has 64 divisors (see below), whose sum is σ = 15610726010880. Its totient is φ = 11956763520000.

The previous prime is 13723977932729. The next prime is 13723977932737.

It is a happy number.

13723977932731 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13723977932731 - 2¹ = 13723977932729 is a prime.

It is a super-2 number, since 2×13723977932731² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13723977932737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7430414850 + ... + 7430416696.

It is an arithmetic number, because the mean of its divisors is an integer number (243917593920).

Almost surely, 2^{13723977932731} is an apocalyptic number.

13723977932731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13723977932731 is a deficient number, since it is larger than the sum of its proper divisors (1886748078149).

13723977932731 is a wasteful number, since it uses less digits than its factorization.

13723977932731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196.

The product of its digits is 63011844, while the sum is 64.

The spelling of 13723977932731 in words is "thirteen trillion, seven hundred twenty-three billion, nine hundred seventy-seven million, nine hundred thirty-two thousand, seven hundred thirty-one".