1010100110311 has 2 divisors, whose sum is σ = 1010100110312. Its totient is φ = 1010100110310.

The previous prime is 1010100110309. The next prime is 1010100110321. The reversal of 1010100110311 is 1130110010101.

It is an a-pointer prime, because the next prime (1010100110321) can be obtained adding 1010100110311 to its sum of digits (10).

It is a weak prime.

It is an emirp because it is prime and its reverse (1130110010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100110311 - 2¹ = 1010100110309 is a prime.

Together with 1010100110309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100110321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055155 + 505050055156.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055156).

Almost surely, 2^{1010100110311} is an apocalyptic number.

1010100110311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100110311 is an equidigital number, since it uses as much as digits as its factorization.

1010100110311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1010100110311 its reverse (1130110010101), we get a palindrome (2140210120412).

The spelling of 1010100110311 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, three hundred eleven".