1311012101129 has 2 divisors, whose sum is σ = 1311012101130. Its totient is φ = 1311012101128.

The previous prime is 1311012101111. The next prime is 1311012101137. The reversal of 1311012101129 is 9211012101131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1038110341129 + 272901760000 = 1018877^2 + 522400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1311012101129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311012101629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655506050564 + 655506050565.

It is an arithmetic number, because the mean of its divisors is an integer number (655506050565).

Almost surely, 2^{1311012101129} is an apocalyptic number.

It is an amenable number.

1311012101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311012101129 is an equidigital number, since it uses as much as digits as its factorization.

1311012101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 23.

It can be divided in two parts, 1311012 and 101129, that added together give a palindrome (1412141).

The spelling of 1311012101129 in words is "one trillion, three hundred eleven billion, twelve million, one hundred one thousand, one hundred twenty-nine".