1013144413101 has 8 divisors (see below), whose sum is σ = 1357931779584. Its totient is φ = 671893327680.

The previous prime is 1013144413081. The next prime is 1013144413121.

1013144413101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1013144413081) and next prime (1013144413121).

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

It is not a de Polignac number, because 1013144413101 - 2³³ = 1004554478509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013144413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884069596 + ... + 884070741.

It is an arithmetic number, because the mean of its divisors is an integer number (169741472448).

Almost surely, 2^{1013144413101} is an apocalyptic number.

It is an amenable number.

1013144413101 is a deficient number, since it is larger than the sum of its proper divisors (344787366483).

1013144413101 is a wasteful number, since it uses less digits than its factorization.

1013144413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768140531.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1013144413101 in words is "one trillion, thirteen billion, one hundred forty-four million, four hundred thirteen thousand, one hundred one".