10031072743 has 16 divisors (see below), whose sum is σ = 10638904320. Its totient is φ = 9431509536.

The previous prime is 10031072741. The next prime is 10031072759. The reversal of 10031072743 is 34727013001.

It is a cyclic number.

It is not a de Polignac number, because 10031072743 - 2¹ = 10031072741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031072741) 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, 1380546 + ... + 1387792.

It is an arithmetic number, because the mean of its divisors is an integer number (664931520).

Almost surely, 2^10031072743 is an apocalyptic number.

10031072743 is a deficient number, since it is larger than the sum of its proper divisors (607831577).

10031072743 is a wasteful number, since it uses less digits than its factorization.

10031072743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806.

The product of its (nonzero) digits is 3528, while the sum is 28.

Adding to 10031072743 its reverse (34727013001), we get a palindrome (44758085744).

The spelling of 10031072743 in words is "ten billion, thirty-one million, seventy-two thousand, seven hundred forty-three".