1010405311013 has 8 divisors (see below), whose sum is σ = 1185958357632. Its totient is φ = 842654622096.

The previous prime is 1010405310991. The next prime is 1010405311039. The reversal of 1010405311013 is 3101135040101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010405311013 - 2¹⁰ = 1010405309989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010405311063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950589145 + ... + 1950589662.

It is an arithmetic number, because the mean of its divisors is an integer number (148244794704).

Almost surely, 2^{1010405311013} is an apocalyptic number.

It is an amenable number.

1010405311013 is a deficient number, since it is larger than the sum of its proper divisors (175553046619).

1010405311013 is an equidigital number, since it uses as much as digits as its factorization.

1010405311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901178851.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1010405311013 in words is "one trillion, ten billion, four hundred five million, three hundred eleven thousand, thirteen".