1001010042131 has 16 divisors (see below), whose sum is σ = 1142685633888. Its totient is φ = 868708339200.

The previous prime is 1001010042073. The next prime is 1001010042161. The reversal of 1001010042131 is 1312400101001.

It is a cyclic number.

It is not a de Polignac number, because 1001010042131 - 2²⁶ = 1000942933267 is a prime.

It is a super-2 number, since 2×1001010042131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001010042161) 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, 23181110 + ... + 23224251.

It is an arithmetic number, because the mean of its divisors is an integer number (71417852118).

Almost surely, 2^{1001010042131} is an apocalyptic number.

1001010042131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001010042131 is a deficient number, since it is larger than the sum of its proper divisors (141675591757).

1001010042131 is a wasteful number, since it uses less digits than its factorization.

1001010042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46405462.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001010042131 its reverse (1312400101001), we get a palindrome (2313410143132).

The spelling of 1001010042131 in words is "one trillion, one billion, ten million, forty-two thousand, one hundred thirty-one".