1040113351431 has 144 divisors (see below), whose sum is σ = 1904104710144. Its totient is φ = 535528224000.

The previous prime is 1040113351397. The next prime is 1040113351447. The reversal of 1040113351431 is 1341533110401.

1040113351431 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 113 + 3 + 514 + 31 = 666.

It is not a de Polignac number, because 1040113351431 - 2¹³ = 1040113343239 is a prime.

It is a super-2 number, since 2×1040113351431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1040113351395 and 1040113351404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040113351471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452812675 + ... + 452814971.

It is an arithmetic number, because the mean of its divisors is an integer number (13222949376).

Almost surely, 2^{1040113351431} is an apocalyptic number.

1040113351431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1040113351431 is a deficient number, since it is larger than the sum of its proper divisors (863991358713).

1040113351431 is a wasteful number, since it uses less digits than its factorization.

1040113351431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1040113351431 its reverse (1341533110401), we get a palindrome (2381646461832).

The spelling of 1040113351431 in words is "one trillion, forty billion, one hundred thirteen million, three hundred fifty-one thousand, four hundred thirty-one".