1001042031 has 16 divisors (see below), whose sum is σ = 1469674368. Its totient is φ = 601020000.

The previous prime is 1001041973. The next prime is 1001042051. The reversal of 1001042031 is 1302401001.

It is a happy number.

It is not a de Polignac number, because 1001042031 - 2¹⁰ = 1001041007 is a prime.

It is a super-2 number, since 2×1001042031² = 2004170295657209922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001041998 and 1001042016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001042051) 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, 138220 + ... + 145281.

It is an arithmetic number, because the mean of its divisors is an integer number (91854648).

Almost surely, 2^1001042031 is an apocalyptic number.

1001042031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001042031 is a deficient number, since it is larger than the sum of its proper divisors (468632337).

1001042031 is a wasteful number, since it uses less digits than its factorization.

1001042031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283622.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001042031 is about 31639.2482685667. The cubic root of 1001042031 is about 1000.3472230888.

Adding to 1001042031 its reverse (1302401001), we get a palindrome (2303443032).

The spelling of 1001042031 in words is "one billion, one million, forty-two thousand, thirty-one".