1131031414401 has 32 divisors (see below), whose sum is σ = 1893063383040. Its totient is φ = 585666474624.

The previous prime is 1131031414399. The next prime is 1131031414411. The reversal of 1131031414401 is 1044141301311.

It is not a de Polignac number, because 1131031414401 - 2¹ = 1131031414399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131031414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61613980 + ... + 61632333.

It is an arithmetic number, because the mean of its divisors is an integer number (59158230720).

Almost surely, 2^{1131031414401} is an apocalyptic number.

It is an amenable number.

1131031414401 is a deficient number, since it is larger than the sum of its proper divisors (762031968639).

1131031414401 is a wasteful number, since it uses less digits than its factorization.

1131031414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123246365.

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

Adding to 1131031414401 its reverse (1044141301311), we get a palindrome (2175172715712).

The spelling of 1131031414401 in words is "one trillion, one hundred thirty-one billion, thirty-one million, four hundred fourteen thousand, four hundred one".