13338777783331 has 64 divisors (see below), whose sum is σ = 18489461760000. Its totient is φ = 9283660646400.

The previous prime is 13338777783329. The next prime is 13338777783367.

13338777783331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13338777783331 - 2¹ = 13338777783329 is a prime.

It is a super-2 number, since 2×13338777783331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13338777783631) 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, 299395845 + ... + 299440393.

It is an arithmetic number, because the mean of its divisors is an integer number (288897840000).

Almost surely, 2^{13338777783331} is an apocalyptic number.

13338777783331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13338777783331 is a deficient number, since it is larger than the sum of its proper divisors (5150683976669).

13338777783331 is a wasteful number, since it uses less digits than its factorization.

13338777783331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54260.

The product of its digits is 112021056, while the sum is 64.

The spelling of 13338777783331 in words is "thirteen trillion, three hundred thirty-eight billion, seven hundred seventy-seven million, seven hundred eighty-three thousand, three hundred thirty-one".