1031411012401 has 16 divisors (see below), whose sum is σ = 1286188904448. Its totient is φ = 803525720400.

The previous prime is 1031411012377. The next prime is 1031411012497. The reversal of 1031411012401 is 1042101141301.

It is a cyclic number.

It is not a de Polignac number, because 1031411012401 - 2⁵ = 1031411012369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031411012701) 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 15 ways as a sum of consecutive naturals, for example, 1061955 + ... + 1786216.

It is an arithmetic number, because the mean of its divisors is an integer number (80386806528).

Almost surely, 2^{1031411012401} is an apocalyptic number.

1031411012401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031411012401 is a deficient number, since it is larger than the sum of its proper divisors (254777892047).

1031411012401 is a wasteful number, since it uses less digits than its factorization.

1031411012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852892.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1031411012401 its reverse (1042101141301), we get a palindrome (2073512153702).

The spelling of 1031411012401 in words is "one trillion, thirty-one billion, four hundred eleven million, twelve thousand, four hundred one".