1027680131113 has 16 divisors (see below), whose sum is σ = 1090733045760. Its totient is φ = 966164124816.

The previous prime is 1027680131099. The next prime is 1027680131131. The reversal of 1027680131113 is 3111310867201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1027680131113 - 2²¹ = 1027678033961 is a prime.

It is a super-2 number, since 2×1027680131113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027680191113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7842256 + ... + 7972222.

It is an arithmetic number, because the mean of its divisors is an integer number (68170815360).

Almost surely, 2^{1027680131113} is an apocalyptic number.

It is an amenable number.

1027680131113 is a deficient number, since it is larger than the sum of its proper divisors (63052914647).

1027680131113 is a wasteful number, since it uses less digits than its factorization.

1027680131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135876.

The product of its (nonzero) digits is 6048, while the sum is 34.

Adding to 1027680131113 its reverse (3111310867201), we get a palindrome (4138990998314).

The spelling of 1027680131113 in words is "one trillion, twenty-seven billion, six hundred eighty million, one hundred thirty-one thousand, one hundred thirteen".