1054331112131 has 32 divisors (see below), whose sum is σ = 1198681768128. Its totient is φ = 918854461440.

The previous prime is 1054331112049. The next prime is 1054331112137. The reversal of 1054331112131 is 1312111334501.

It is a cyclic number.

It is not a de Polignac number, because 1054331112131 - 2³⁴ = 1037151242947 is a prime.

It is a super-2 number, since 2×1054331112131² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054331112131.

It is not an unprimeable number, because it can be changed into a prime (1054331112137) 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, 29604071 + ... + 29639663.

It is an arithmetic number, because the mean of its divisors is an integer number (37458805254).

Almost surely, 2^{1054331112131} is an apocalyptic number.

1054331112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1054331112131 is a deficient number, since it is larger than the sum of its proper divisors (144350655997).

1054331112131 is a wasteful number, since it uses less digits than its factorization.

1054331112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36711.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 1054331112131 its reverse (1312111334501), we get a palindrome (2366442446632).

The spelling of 1054331112131 in words is "one trillion, fifty-four billion, three hundred thirty-one million, one hundred twelve thousand, one hundred thirty-one".