1041314131401 has 32 divisors (see below), whose sum is σ = 1459512582528. Its totient is φ = 659554721280.

The previous prime is 1041314131393. The next prime is 1041314131409.

1041314131401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1041314131393) and next prime (1041314131409).

It is not a de Polignac number, because 1041314131401 - 2³ = 1041314131393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1041314131409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18209085 + ... + 18266181.

It is an arithmetic number, because the mean of its divisors is an integer number (45609768204).

Almost surely, 2^{1041314131401} is an apocalyptic number.

It is an amenable number.

1041314131401 is a deficient number, since it is larger than the sum of its proper divisors (418198451127).

1041314131401 is a wasteful number, since it uses less digits than its factorization.

1041314131401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61001.

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

The spelling of 1041314131401 in words is "one trillion, forty-one billion, three hundred fourteen million, one hundred thirty-one thousand, four hundred one".