1001010442431 has 16 divisors (see below), whose sum is σ = 1335666816000. Its totient is φ = 666847342560.

The previous prime is 1001010442339. The next prime is 1001010442441. The reversal of 1001010442431 is 1342440101001.

It is not a de Polignac number, because 1001010442431 - 2²⁹ = 1000473571519 is a prime.

It is a super-2 number, since 2×1001010442431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001010442398 and 1001010442407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010442441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30318070 + ... + 30351068.

It is an arithmetic number, because the mean of its divisors is an integer number (83479176000).

Almost surely, 2^{1001010442431} is an apocalyptic number.

1001010442431 is a deficient number, since it is larger than the sum of its proper divisors (334656373569).

1001010442431 is a wasteful number, since it uses less digits than its factorization.

1001010442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40166.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1001010442431 its reverse (1342440101001), we get a palindrome (2343450543432).

It can be divided in two parts, 1001010 and 442431, that added together give a palindrome (1443441).

The spelling of 1001010442431 in words is "one trillion, one billion, ten million, four hundred forty-two thousand, four hundred thirty-one".